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145423453111152 = 24397331601157007
BaseRepresentation
bin100001000100001100001001…
…010000111100001101110000
3201001220100100111002112020120
4201010030021100330031300
5123030104212444024102
61233142340113210240
742426332510066466
oct4104141120741560
9631810314075216
10145423453111152
1142377816110697
1214388058260980
13631b4b001ac58
1427ca765992836
1511c2be75bb6bc
hex84430943c370

145423453111152 has 160 divisors (see below), whose sum is σ = 381332760474624. Its totient is φ = 47749920768000.

The previous prime is 145423453111141. The next prime is 145423453111159. The reversal of 145423453111152 is 251111354324541.

It is a super-2 number, since 2×1454234531111522 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145423453111159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 926144233 + ... + 926301239.

Almost surely, 2145423453111152 is an apocalyptic number.

145423453111152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145423453111152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190666380237312).

145423453111152 is an abundant number, since it is smaller than the sum of its proper divisors (235909307363472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

145423453111152 is a wasteful number, since it uses less digits than its factorization.

145423453111152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158047 (or 158041 counting only the distinct ones).

The product of its digits is 288000, while the sum is 42.

The spelling of 145423453111152 in words is "one hundred forty-five trillion, four hundred twenty-three billion, four hundred fifty-three million, one hundred eleven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 97 194 291 331 388 582 601 662 776 993 1164 1202 1324 1552 1803 1986 2328 2404 2648 3606 3972 4656 4808 5296 7212 7944 9616 14424 15888 28848 32107 58297 64214 96321 116594 128428 157007 174891 192642 198931 233188 256856 314014 349782 385284 397862 466376 471021 513712 596793 628028 699564 770568 795724 932752 942042 1193586 1256056 1399128 1541136 1591448 1884084 2387172 2512112 2798256 3182896 3768168 4774344 7536336 9548688 15229679 19296307 30459358 38592614 45689037 51969317 57888921 60918716 77185228 91378074 94361207 103938634 115777842 121837432 154370456 155907951 182756148 188722414 207877268 231555684 243674864 283083621 308740912 311815902 365512296 377444828 415754536 463111368 566167242 623631804 731024592 754889656 831509072 926222736 1132334484 1247263608 1509779312 2264668968 2494527216 4529337936 5041023749 9153037079 10082047498 15123071247 18306074158 20164094996 27459111237 30246142494 31233559517 36612148316 40328189992 54918222474 60492284988 62467119034 73224296632 80656379984 93700678551 109836444948 120984569976 124934238068 146448593264 187401357102 219672889896 241969139952 249868476136 374802714204 439345779792 499736952272 749605428408 1499210856816 3029655273149 6059310546298 9088965819447 12118621092596 18177931638894 24237242185192 36355863277788 48474484370384 72711726555576 145423453111152