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1429990613280 = 253251317580527
BaseRepresentation
bin10100110011110010000…
…101010010000100100000
312001201001111121210200200
4110303302011102010200
5141412110044111110
63012532325345200
7205212333442245
oct24636205220440
95051044553620
101429990613280
1150150146a9a9
121b1184b68200
13a4b030635a8
144d2d76cd5cc
15272e60326c0
hex14cf2152120

1429990613280 has 144 divisors (see below), whose sum is σ = 4917094326144. Its totient is φ = 378419857920.

The previous prime is 1429990613257. The next prime is 1429990613281. The reversal of 1429990613280 is 823160999241.

1429990613280 is a `hidden beast` number, since 1 + 429 + 9 + 9 + 0 + 6 + 132 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (1429990613281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3601624 + ... + 3978903.

It is an arithmetic number, because the mean of its divisors is an integer number (34146488376).

Almost surely, 21429990613280 is an apocalyptic number.

1429990613280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1429990613280 is an abundant number, since it is smaller than the sum of its proper divisors (3487103712864).

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

1429990613280 is a wasteful number, since it uses less digits than its factorization.

1429990613280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7580679 (or 7580668 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 1429990613280 in words is "one trillion, four hundred twenty-nine billion, nine hundred ninety million, six hundred thirteen thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 131 144 160 180 240 262 288 360 393 480 524 655 720 786 1048 1179 1310 1440 1572 1965 2096 2358 2620 3144 3930 4192 4716 5240 5895 6288 7860 9432 10480 11790 12576 15720 18864 20960 23580 31440 37728 47160 62880 94320 188640 7580527 15161054 22741581 30322108 37902635 45483162 60644216 68224743 75805270 90966324 113707905 121288432 136449486 151610540 181932648 227415810 242576864 272898972 303221080 341123715 363865296 454831620 545797944 606442160 682247430 727730592 909663240 993049037 1091595888 1212884320 1364494860 1819326480 1986098074 2183191776 2728989720 2979147111 3638652960 3972196148 4965245185 5457979440 5958294222 7944392296 8937441333 9930490370 10915958880 11916588444 14895735555 15888784592 17874882666 19860980740 23833176888 29791471110 31777569184 35749765332 39721961480 44687206665 47666353776 59582942220 71499530664 79443922960 89374413330 95332707552 119165884440 142999061328 158887845920 178748826660 238331768880 285998122656 357497653320 476663537760 714995306640 1429990613280