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402442144300 = 225271378235099
BaseRepresentation
bin1011101101100110110…
…10111100101000101100
31102110202212220011011201
411312303122330220230
523043200142104200
6504513535455244
741034614533150
oct5666332745054
91373685804151
10402442144300
1114574710a579
1265bb5087524
132bc47591841
141569a673060
15a705ee6c6a
hex5db36bca2c

402442144300 has 144 divisors (see below), whose sum is σ = 1006760563200. Its totient is φ = 136779747840.

The previous prime is 402442144289. The next prime is 402442144331. The reversal of 402442144300 is 3441244204.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78923151 + ... + 78928249.

It is an arithmetic number, because the mean of its divisors is an integer number (6991392800).

Almost surely, 2402442144300 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 402442144300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503380281600).

402442144300 is an abundant number, since it is smaller than the sum of its proper divisors (604318418900).

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

402442144300 is a wasteful number, since it uses less digits than its factorization.

402442144300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6080 (or 6073 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 402442144300 its reverse (3441244204), we get a palindrome (405883388504).

The spelling of 402442144300 in words is "four hundred two billion, four hundred forty-two million, one hundred forty-four thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 137 140 175 274 350 548 685 700 823 959 1370 1646 1918 2740 3292 3425 3836 4115 4795 5099 5761 6850 8230 9590 10198 11522 13700 16460 19180 20396 20575 23044 23975 25495 28805 35693 41150 47950 50990 57610 71386 82300 95900 101980 112751 115220 127475 142772 144025 178465 225502 254950 288050 356930 451004 509900 563755 576100 698563 713860 789257 892325 1127510 1397126 1578514 1784650 2255020 2794252 2818775 3157028 3492815 3569300 3946285 4196477 4889941 5637550 6985630 7892570 8392954 9779882 11275100 13971260 15785140 16785908 17464075 19559764 19731425 20982385 24449705 29375339 34928150 39462850 41964770 48899410 58750678 69856300 78925700 83929540 97798820 104911925 117501356 122248525 146876695 209823850 244497050 293753390 419647700 488994100 574917349 587506780 734383475 1149834698 1468766950 2299669396 2874586745 2937533900 4024421443 5749173490 8048842886 11498346980 14372933725 16097685772 20122107215 28745867450 40244214430 57491734900 80488428860 100610536075 201221072150 402442144300