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145119026640 = 24357283305231
BaseRepresentation
bin1000011100100111000…
…1001001110111010000
3111212120121001101011110
42013021301021313100
54334200432323030
6150400004213320
713325120242140
oct2071161116720
9455517041143
10145119026640
11565a99a8675
122416009a240
13108b9296743
147049434920
153b9533a1b0
hex21c9c49dd0

145119026640 has 160 divisors (see below), whose sum is σ = 515954405376. Its totient is φ = 33052746240.

The previous prime is 145119026639. The next prime is 145119026669. The reversal of 145119026640 is 46620911541.

It is a congruent number.

It is an unprimeable number.

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, 322825 + ... + 628055.

Almost surely, 2145119026640 is an apocalyptic number.

145119026640 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 145119026640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257977202688).

145119026640 is an abundant number, since it is smaller than the sum of its proper divisors (370835378736).

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

145119026640 is a wasteful number, since it uses less digits than its factorization.

145119026640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305537 (or 305531 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 145119026640 in words is "one hundred forty-five billion, one hundred nineteen million, twenty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 283 336 420 560 566 840 849 1132 1415 1680 1698 1981 2264 2830 3396 3962 4245 4528 5660 5943 6792 7924 8490 9905 11320 11886 13584 15848 16980 19810 22640 23772 29715 31696 33960 39620 47544 59430 67920 79240 95088 118860 158480 237720 305231 475440 610462 915693 1220924 1526155 1831386 2136617 2441848 3052310 3662772 4273234 4578465 4883696 6104620 6409851 7325544 8546468 9156930 10683085 12209240 12819702 14651088 17092936 18313860 21366170 24418480 25639404 32049255 34185872 36627720 42732340 51278808 64098510 73255440 85464680 86380373 102557616 128197020 170929360 172760746 256394040 259141119 345521492 431901865 512788080 518282238 604662611 691042984 863803730 1036564476 1209325222 1295705595 1382085968 1727607460 1813987833 2073128952 2418650444 2591411190 3023313055 3455214920 3627975666 4146257904 4837300888 5182822380 6046626110 6910429840 7255951332 9069939165 9674601776 10365644760 12093252220 14511902664 18139878330 20731289520 24186504440 29023805328 36279756660 48373008880 72559513320 145119026640