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402249413104 = 24721153880057
BaseRepresentation
bin1011101101001111110…
…11101111000111110000
31102110021110020101200021
411312213323233013300
523042301322204404
6504442452533224
741030054411500
oct5664773570760
91373243211607
10402249413104
111456583417a0
1265b60621214
132bc16680c06
141567cc23a00
15a6e4126454
hex5da7eef1f0

402249413104 has 120 divisors (see below), whose sum is σ = 1007680490928. Its totient is φ = 153763384320.

The previous prime is 402249413101. The next prime is 402249413107. The reversal of 402249413104 is 401314942204.

It is an interprime number because it is at equal distance from previous prime (402249413101) and next prime (402249413107).

It is a self number, because there is not a number n which added to its sum of digits gives 402249413104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402249413101) 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, 17044 + ... + 897100.

Almost surely, 2402249413104 is an apocalyptic number.

402249413104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402249413104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503840245464).

402249413104 is an abundant number, since it is smaller than the sum of its proper divisors (605431077824).

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

402249413104 is a wasteful number, since it uses less digits than its factorization.

402249413104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880143 (or 880130 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The spelling of 402249413104 in words is "four hundred two billion, two hundred forty-nine million, four hundred thirteen thousand, one hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 53 56 77 88 98 106 112 154 176 196 212 308 371 392 424 539 583 616 742 784 848 1078 1166 1232 1484 2156 2332 2597 2968 4081 4312 4664 5194 5936 8162 8624 9328 10388 16324 20776 28567 32648 41552 57134 65296 114268 228536 457072 880057 1760114 3520228 6160399 7040456 9680627 12320798 14080912 19361254 24641596 38722508 43122793 46643021 49283192 67764389 77445016 86245586 93286042 98566384 135528778 154890032 172491172 186572084 271057556 326501147 344982344 373144168 474350723 513073231 542115112 653002294 689964688 746288336 948701446 1026146462 1084230224 1306004588 1897402892 2052292924 2285508029 2612009176 3591512617 3794805784 4104585848 4571016058 5224018352 7183025234 7589611568 8209171696 9142032116 14366050468 18284064232 25140588319 28732100936 36568128464 50281176638 57464201872 100562353276 201124706552 402249413104