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128281321137354 = 237113743174522437
BaseRepresentation
bin11101001010101111010010…
…100100111110010011001010
3121211012120111211111221001020
4131022233102210332103022
5113303230121202343404
61132455343025133310
736010006503336420
oct3512572244762312
9554176454457036
10128281321137354
1137968891549780
1212479942a8a236
135676b520a0a88
142396bc5bcd110
15ec6d58ec6ed9
hex74abd293e4ca

128281321137354 has 128 divisors (see below), whose sum is σ = 336155346819072. Its totient is φ = 31665350787840.

The previous prime is 128281321137337. The next prime is 128281321137401. The reversal of 128281321137354 is 453731123182821.

It is a super-3 number, since 3×1282813211373543 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 128281321137297 and 128281321137306.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86526177 + ... + 87996260.

It is an arithmetic number, because the mean of its divisors is an integer number (2626213647024).

Almost surely, 2128281321137354 is an apocalyptic number.

128281321137354 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

128281321137354 is an abundant number, since it is smaller than the sum of its proper divisors (207874025681718).

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

128281321137354 is a wasteful number, since it uses less digits than its factorization.

128281321137354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174522540.

The product of its digits is 1935360, while the sum is 51.

The spelling of 128281321137354 in words is "one hundred twenty-eight trillion, two hundred eighty-one billion, three hundred twenty-one million, one hundred thirty-seven thousand, three hundred fifty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 37 42 43 66 74 77 86 111 129 154 222 231 258 259 301 407 462 473 518 602 777 814 903 946 1221 1419 1554 1591 1806 2442 2838 2849 3182 3311 4773 5698 6622 8547 9546 9933 11137 17094 17501 19866 22274 33411 35002 52503 66822 105006 122507 245014 367521 735042 174522437 349044874 523567311 1047134622 1221657059 1919746807 2443314118 3664971177 3839493614 5759240421 6457330169 7329942354 7504464791 11518480842 12914660338 13438227649 15008929582 19371990507 22513394373 26876455298 38743981014 40314682947 45026788746 45201311183 52531253537 71030631859 80629365894 82549112701 90402622366 105062507074 135603933549 142061263718 157593760611 165098225402 213091895577 247647338103 271207867098 277665197267 315187521222 426183791154 495294676206 497214423013 555330394534 577843788907 832995591801 994428846026 1155687577814 1491643269039 1665991183602 1733531366721 1943656380869 2983286538078 3054317169937 3467062733442 3887312761738 5830969142607 6108634339874 9162951509811 11661938285214 18325903019622 21380220189559 42760440379118 64140660568677 128281321137354