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145415343300 = 2235210729315461
BaseRepresentation
bin1000011101101101101…
…1100000110011000100
3111220100020121211012120
42013123123200303010
54340302311441200
6150445231245540
713335346011123
oct2073333406304
9456306554176
10145415343300
1156741196777
12242233798b0
13109357a4b46
147076929aba
153bb136c9a0
hex21db6e0cc4

145415343300 has 144 divisors (see below), whose sum is σ = 426144100032. Its totient is φ = 38281433600.

The previous prime is 145415343287. The next prime is 145415343301. The reversal of 145415343300 is 3343514541.

It is a super-2 number, since 2×1454153433002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145415343301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9397570 + ... + 9413030.

It is an arithmetic number, because the mean of its divisors is an integer number (2959334028).

Almost surely, 2145415343300 is an apocalyptic number.

145415343300 is a gapful number since it is divisible by the number (10) 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 145415343300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213072050016).

145415343300 is an abundant number, since it is smaller than the sum of its proper divisors (280728756732).

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

145415343300 is a wasteful number, since it uses less digits than its factorization.

145415343300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15878 (or 15871 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

Adding to 145415343300 its reverse (3343514541), we get a palindrome (148758857841).

The spelling of 145415343300 in words is "one hundred forty-five billion, four hundred fifteen million, three hundred forty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 107 150 214 293 300 321 428 535 586 642 879 1070 1172 1284 1465 1605 1758 2140 2675 2930 3210 3516 4395 5350 5860 6420 7325 8025 8790 10700 14650 15461 16050 17580 21975 29300 30922 31351 32100 43950 46383 61844 62702 77305 87900 92766 94053 125404 154610 156755 185532 188106 231915 309220 313510 376212 386525 463830 470265 627020 773050 783775 927660 940530 1159575 1546100 1567550 1654327 1881060 2319150 2351325 3135100 3308654 4530073 4638300 4702650 4962981 6617308 8271635 9060146 9405300 9925962 13590219 16543270 18120292 19851924 22650365 24814905 27180438 33086540 41358175 45300730 49629810 54360876 67951095 82716350 90601460 99259620 113251825 124074525 135902190 165432700 226503650 248149050 271804380 339755475 453007300 484717811 496298100 679510950 969435622 1359021900 1454153433 1938871244 2423589055 2908306866 4847178110 5816613732 7270767165 9694356220 12117945275 14541534330 24235890550 29083068660 36353835825 48471781100 72707671650 145415343300