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3145746028887 = 387117187701
BaseRepresentation
bin101101110001101101000…
…100110001100101010111
3102010201201110010200000000
4231301231010301211113
5403014441440411022
610405045154422343
7443162343030150
oct55615504614527
912121643120000
103145746028887
111003115695420
124297bbb919b3
1319a847987897
14ac37d702927
1556c64b326ac
hex2dc6d131957

3145746028887 has 144 divisors (see below), whose sum is σ = 5965577040384. Its totient is φ = 1611119160000.

The previous prime is 3145746028853. The next prime is 3145746028937. The reversal of 3145746028887 is 7888206475413.

It is a happy number.

3145746028887 is a `hidden beast` number, since 3 + 14 + 5 + 7 + 4 + 602 + 8 + 8 + 8 + 7 = 666.

It is not a de Polignac number, because 3145746028887 - 215 = 3145745996119 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3145746028387) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 35825137 + ... + 35912837.

It is an arithmetic number, because the mean of its divisors is an integer number (41427618336).

Almost surely, 23145746028887 is an apocalyptic number.

3145746028887 is a deficient number, since it is larger than the sum of its proper divisors (2819831011497).

3145746028887 is an frugal number, since it uses more digits than its factorization.

3145746028887 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87814 (or 87793 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 63.

The spelling of 3145746028887 in words is "three trillion, one hundred forty-five billion, seven hundred forty-six million, twenty-eight thousand, eight hundred eighty-seven".

Divisors: 1 3 7 9 11 21 27 33 63 71 77 81 99 189 213 231 243 297 497 567 639 693 729 781 891 1491 1701 1917 2079 2187 2343 2673 4473 5103 5467 5751 6237 6561 7029 8019 13419 15309 16401 17253 18711 21087 24057 40257 45927 49203 51759 56133 63261 72171 87701 120771 147609 155277 168399 189783 263103 362313 442827 465831 505197 569349 613907 789309 964711 1086939 1328481 1708047 1841721 2367927 2894133 3260817 3985443 5124141 5525163 6226771 6752977 7103781 8682399 11956329 16575489 18680313 20258931 21311343 26047197 35868987 43587397 49726467 56040939 60776793 63934029 68494481 78141591 130762191 149179401 168122817 182330379 191802087 205483443 234424773 392286573 447538203 479461367 504368451 546991137 575406261 616450329 703274319 1176859719 1342614609 1438384101 1513105353 1640973411 1849350987 2109822957 3530579157 4027843827 4315152303 4539316059 4922920233 5548052961 6329468871 10591737471 12945456909 13617948177 14768760699 16644158883 31775212413 38836370727 40853844531 44306282097 49932476649 95325637239 116509112181 149797429947 285976911717 349527336543 449392289841 1048582009629 3145746028887