Search a number
-
+
1429988941120 = 26531373896003
BaseRepresentation
bin10100110011110001111…
…110111001110101000000
312001201001101110211220211
4110303301332321311000
5141412104132103440
63012532225443504
7205212313306165
oct24636176716500
95051041424824
101429988941120
11501500528653
121b11844a0594
13a4b028c944c
144d2d73b606c
15272e5d01eea
hex14cf1fb9d40

1429988941120 has 112 divisors (see below), whose sum is σ = 3610006138368. Its totient is φ = 538583316480.

The previous prime is 1429988941057. The next prime is 1429988941127. The reversal of 1429988941120 is 211498899241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1429988941127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1580962 + ... + 2315041.

It is an arithmetic number, because the mean of its divisors is an integer number (32232197664).

Almost surely, 21429988941120 is an apocalyptic number.

1429988941120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1429988941120 is an abundant number, since it is smaller than the sum of its proper divisors (2180017197248).

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

1429988941120 is a wasteful number, since it uses less digits than its factorization.

1429988941120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3896088 (or 3896078 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 58.

The spelling of 1429988941120 in words is "one trillion, four hundred twenty-nine billion, nine hundred eighty-eight million, nine hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 37 40 62 64 74 80 124 148 155 160 185 248 296 310 320 370 496 592 620 740 992 1147 1184 1240 1480 1984 2294 2368 2480 2960 4588 4960 5735 5920 9176 9920 11470 11840 18352 22940 36704 45880 73408 91760 183520 367040 3896003 7792006 15584012 19480015 31168024 38960030 62336048 77920060 120776093 124672096 144152111 155840120 241552186 249344192 288304222 311680240 483104372 576608444 603880465 623360480 720760555 966208744 1153216888 1207760930 1246720960 1441521110 1932417488 2306433776 2415521860 2883042220 3864834976 4468715441 4612867552 4831043720 5766084440 7729669952 8937430882 9225735104 9662087440 11532168880 17874861764 19324174880 22343577205 23064337760 35749723528 38648349760 44687154410 46128675520 71499447056 89374308820 142998894112 178748617640 285997788224 357497235280 714994470560 1429988941120