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402144410112 = 2931743358157
BaseRepresentation
bin1011101101000011010…
…11001011101000000000
31102110000010122200122120
411312201223023220000
523042042432110422
6504424222204240
741024341041354
oct5664153135000
91373003580576
10402144410112
11145604043465
1265b31423680
132bbca9a8173
141566cccd464
15a6d9cd445c
hex5da1acba00

402144410112 has 160 divisors (see below), whose sum is σ = 1160741368512. Its totient is φ = 123228585984.

The previous prime is 402144410053. The next prime is 402144410113. The reversal of 402144410112 is 211014441204.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (402144410113) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 943738 + ... + 1301894.

Almost surely, 2402144410112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402144410112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580370684256).

402144410112 is an abundant number, since it is smaller than the sum of its proper divisors (758596958400).

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

402144410112 is a wasteful number, since it uses less digits than its factorization.

402144410112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358238 (or 358222 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 402144410112 its reverse (211014441204), we get a palindrome (613158851316).

The spelling of 402144410112 in words is "four hundred two billion, one hundred forty-four million, four hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 43 48 51 64 68 86 96 102 128 129 136 172 192 204 256 258 272 344 384 408 512 516 544 688 731 768 816 1032 1088 1376 1462 1536 1632 2064 2176 2193 2752 2924 3264 4128 4352 4386 5504 5848 6528 8256 8704 8772 11008 11696 13056 16512 17544 22016 23392 26112 33024 35088 46784 66048 70176 93568 140352 187136 280704 358157 374272 561408 716314 1074471 1122816 1432628 2148942 2865256 4297884 5730512 6088669 8595768 11461024 12177338 15400751 17191536 18266007 22922048 24354676 30801502 34383072 36532014 45844096 46202253 48709352 61603004 68766144 73064028 91688192 92404506 97418704 123206008 137532288 146128056 183376384 184809012 194837408 246412016 261812767 275064576 292256112 369618024 389674816 492824032 523625534 550129152 584512224 739236048 779349632 785438301 985648064 1047251068 1169024448 1478472096 1558699264 1570876602 1971296128 2094502136 2338048896 2956944192 3117398528 3141753204 3942592256 4189004272 4676097792 5913888384 6283506408 7885184512 8378008544 9352195584 11827776768 12567012816 16756017088 23655553536 25134025632 33512034176 50268051264 67024068352 100536102528 134048136704 201072205056 402144410112