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156407742140 = 225131722717681
BaseRepresentation
bin1001000110101010100…
…0001011111010111100
3112221201022202112121112
42101222220023322330
510030310340222030
6155504104421152
714204633605136
oct2215250137274
9487638675545
10156407742140
1160372102711
12263907777b8
1311997c6a760
1477da7bc056
154106409a95
hex246aa0bebc

156407742140 has 144 divisors (see below), whose sum is σ = 377188904064. Its totient is φ = 54145843200.

The previous prime is 156407742121. The next prime is 156407742163. The reversal of 156407742140 is 41247704651.

156407742140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20359100 + ... + 20366780.

Almost surely, 2156407742140 is an apocalyptic number.

156407742140 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 156407742140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188594452032).

156407742140 is an abundant number, since it is smaller than the sum of its proper divisors (220781161924).

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

156407742140 is a wasteful number, since it uses less digits than its factorization.

156407742140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8008 (or 7989 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 41.

The spelling of 156407742140 in words is "one hundred fifty-six billion, four hundred seven million, seven hundred forty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 271 289 340 442 542 578 884 1084 1105 1156 1355 1445 2210 2710 2890 3523 3757 4420 4607 5420 5780 7046 7514 7681 9214 14092 15028 15362 17615 18428 18785 23035 30724 35230 37570 38405 46070 59891 70460 75140 76810 78319 92140 99853 119782 130577 153620 156638 199706 239564 261154 299455 313276 391595 399412 499265 522308 598910 652885 783190 998530 1018147 1197820 1305770 1566380 1697501 1997060 2036294 2081551 2219809 2611540 3395002 4072588 4163102 4439618 5090735 6790004 8326204 8487505 8879236 10181470 10407755 11099045 16975010 20362940 20815510 22198090 27060163 28857517 33950020 35386367 41631020 44396180 54120326 57715034 70772734 108240652 115430068 135300815 141545468 144287585 176931835 270601630 288575170 353863670 460022771 541203260 577150340 601568239 707727340 920045542 1203136478 1840091084 2300113855 2406272956 3007841195 4600227710 6015682390 7820387107 9200455420 12031364780 15640774214 31281548428 39101935535 78203871070 156407742140