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10400244121410 = 235111315715441397
BaseRepresentation
bin1001011101010111111011…
…0110110011111101000010
31100211020211220011021102220
42113111332312303331002
52330344144443341120
634041450045351510
72122251513264453
oct227257666637502
940736756137386
1010400244121410
11334a79a744450
1211bb778868596
135a597b22b5b0
1427d5358bb12a
15130802eadb40
hex9757edb3f42

10400244121410 has 128 divisors (see below), whose sum is σ = 29511105732864. Its totient is φ = 2312503464960.

The previous prime is 10400244121367. The next prime is 10400244121411. The reversal of 10400244121410 is 1412144200401.

It is not an unprimeable number, because it can be changed into a prime (10400244121411) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7047169 + ... + 8394228.

It is an arithmetic number, because the mean of its divisors is an integer number (230555513538).

Almost surely, 210400244121410 is an apocalyptic number.

10400244121410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10400244121410 is an abundant number, since it is smaller than the sum of its proper divisors (19110861611454).

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

10400244121410 is a wasteful number, since it uses less digits than its factorization.

10400244121410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15441588.

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

Adding to 10400244121410 its reverse (1412144200401), we get a palindrome (11812388321811).

The spelling of 10400244121410 in words is "ten trillion, four hundred billion, two hundred forty-four million, one hundred twenty-one thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 78 110 130 143 157 165 195 286 314 330 390 429 471 715 785 858 942 1430 1570 1727 2041 2145 2355 3454 4082 4290 4710 5181 6123 8635 10205 10362 12246 17270 20410 22451 25905 30615 44902 51810 61230 67353 112255 134706 224510 336765 673530 15441397 30882794 46324191 77206985 92648382 154413970 169855367 200738161 231620955 339710734 401476322 463241910 509566101 602214483 849276835 1003690805 1019132202 1204428966 1698553670 2007381610 2208119771 2424299329 2547830505 3011072415 4416239542 4848598658 5095661010 6022144830 6624359313 7272897987 11040598855 12121496645 13248718626 14545795974 22081197710 24242993290 26667292619 31515891277 33121796565 36364489935 53334585238 63031782554 66243593130 72728979870 80001877857 94547673831 133336463095 157579456385 160003755714 189095347662 266672926190 315158912770 346674804047 400009389285 472738369155 693349608094 800018778570 945476738310 1040024412141 1733374020235 2080048824282 3466748040470 5200122060705 10400244121410