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2141424402 = 23135379283
BaseRepresentation
bin111111110100011…
…1000101100010010
312112020110122000220
41333220320230102
513341201040102
6552254053510
7104031543555
oct17750705422
95466418026
102141424402
119a9861937
124b91aa296
13281862b40
1416459069c
15c7eeb1bc
hex7fa38b12

2141424402 has 96 divisors (see below), whose sum is σ = 4816905408. Its totient is φ = 630594432.

The previous prime is 2141424391. The next prime is 2141424419. The reversal of 2141424402 is 2044241412.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25800253 + ... + 25800335.

It is an arithmetic number, because the mean of its divisors is an integer number (50176098).

Almost surely, 22141424402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2141424402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2408452704).

2141424402 is an abundant number, since it is smaller than the sum of its proper divisors (2675481006).

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

2141424402 is a wasteful number, since it uses less digits than its factorization.

2141424402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 2141424402 is about 46275.5270310344. The cubic root of 2141424402 is about 1288.9445931627.

Adding to 2141424402 its reverse (2044241412), we get a palindrome (4185665814).

The spelling of 2141424402 in words is "two billion, one hundred forty-one million, four hundred twenty-four thousand, four hundred two".

Divisors: 1 2 3 6 13 26 39 53 78 79 83 106 158 159 166 237 249 318 474 498 689 1027 1079 1378 2054 2067 2158 3081 3237 4134 4187 4399 6162 6241 6474 6557 8374 8798 12482 12561 13114 13197 18723 19671 25122 26394 37446 39342 54431 57187 81133 85241 108862 114374 162266 163293 170482 171561 243399 255723 326586 330773 343122 347521 486798 511446 518003 661546 695042 992319 1036006 1042563 1554009 1984638 2085126 3108018 4300049 4517773 6734039 8600098 9035546 12900147 13468078 13553319 20202117 25800294 27106638 27454159 40404234 54908318 82362477 164724954 356904067 713808134 1070712201 2141424402