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42504155405415 = 325112271105127407
BaseRepresentation
bin10011010101000010001010…
…00101011001110001100111
312120111100122200010001010100
421222201011011121301213
521032342002240433130
6230222050041155143
711644552410556644
oct1152410505316147
9176440580101110
1042504155405415
11125a7a02710a00
12492570b78bab3
131a94180b40672
14a6d2d7dd6dcb
154da96d54dc60
hex26a845159c67

42504155405415 has 144 divisors (see below), whose sum is σ = 81359492917248. Its totient is φ = 20511746640000.

The previous prime is 42504155405347. The next prime is 42504155405423. The reversal of 42504155405415 is 51450455140524.

42504155405415 is a `hidden beast` number, since 4 + 2 + 5 + 0 + 41 + 5 + 540 + 54 + 15 = 666.

It is not a de Polignac number, because 42504155405415 - 218 = 42504155143271 is a prime.

It is a super-2 number, since 2×425041554054152 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1550836642 + ... + 1550864048.

It is an arithmetic number, because the mean of its divisors is an integer number (564996478592).

Almost surely, 242504155405415 is an apocalyptic number.

42504155405415 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42504155405415 is a deficient number, since it is larger than the sum of its proper divisors (38855337511833).

42504155405415 is a wasteful number, since it uses less digits than its factorization.

42504155405415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28762 (or 28748 counting only the distinct ones).

The product of its (nonzero) digits is 1600000, while the sum is 45.

The spelling of 42504155405415 in words is "forty-two trillion, five hundred four billion, one hundred fifty-five million, four hundred five thousand, four hundred fifteen".

Divisors: 1 3 5 9 11 15 33 45 55 99 121 165 271 363 495 605 813 1051 1089 1355 1815 2439 2981 3153 4065 5255 5445 8943 9459 11561 12195 14905 15765 26829 27407 32791 34683 44715 47295 57805 82221 98373 104049 127171 134145 137035 163955 173415 246663 284821 295119 301477 381513 411105 491865 520245 635855 854463 904431 1144539 1233315 1424105 1475595 1507385 1907565 2563389 2713293 3133031 3316247 4272315 4522155 5722695 7427297 9399093 9948741 12816945 13566465 15665155 16581235 22281891 28197279 28804757 29846223 34463341 37136485 46995465 49743705 66845673 81700267 86414271 103390023 111409455 140986395 144023785 149231115 172316705 245100801 259242813 310170069 316852327 334228365 408501335 432071355 516950115 735302403 898702937 950556981 1225504005 1296214065 1550850345 1584261635 2696108811 2851670943 3485375597 3676512015 4493514685 4752784905 7806089147 8088326433 10456126791 13480544055 14258354715 17426877985 23418267441 31368380373 39030445735 40441632165 52280633955 70254802323 85866980617 117091337205 156841901865 257600941851 351274011615 429334903085 772802825553 944536786787 1288004709255 2833610360361 3864014127765 4722683933935 8500831081083 14168051801805 42504155405415