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412031404004330 = 2511411734671130813
BaseRepresentation
bin101110110101111011000100…
…1011110001101001111101010
32000000212211001222111221011202
41131223312021132031033222
5413001210303411114310
64020152340333524202
7152534200203404645
oct13553661136151752
92000784058457152
10412031404004330
1110a31659aa18790
123a266543643662
13148ba519153a06
1473a65d7d06a5c
153297d3805e3a5
hex176bd8978d3ea

412031404004330 has 128 divisors (see below), whose sum is σ = 835390090918656. Its totient is φ = 145018949478400.

The previous prime is 412031404004327. The next prime is 412031404004393. The reversal of 412031404004330 is 33400404130214.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 412031404004293 and 412031404004302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 363802004 + ... + 364932816.

It is an arithmetic number, because the mean of its divisors is an integer number (6526485085302).

Almost surely, 2412031404004330 is an apocalyptic number.

412031404004330 is an abundant number, since it is smaller than the sum of its proper divisors (423358686914326).

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

412031404004330 is a wasteful number, since it uses less digits than its factorization.

412031404004330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131512.

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 412031404004330 its reverse (33400404130214), we get a palindrome (445431808134544).

The spelling of 412031404004330 in words is "four hundred twelve trillion, thirty-one billion, four hundred four million, four thousand, three hundred thirty".

Divisors: 1 2 5 10 11 22 41 55 82 110 173 205 346 410 451 467 865 902 934 1730 1903 2255 2335 3806 4510 4670 5137 7093 9515 10274 14186 19030 19147 25685 35465 38294 51370 70930 78023 80791 95735 156046 161582 191470 210617 390115 403955 421234 780230 807910 888701 1053085 1130813 1777402 2106170 2261626 3312431 4443505 5654065 6624862 8887010 11308130 12438943 16562155 24877886 33124310 36436741 46363333 62194715 72873482 92726666 124389430 182183705 195630649 231816665 364367410 391261298 463633330 509996663 528089671 978153245 1019993326 1056179342 1956306490 2151937139 2549983315 2640448355 4303874278 5099966630 5280896710 5808986381 8020856609 10759685695 11617972762 16041713218 21519371390 21651676511 29044931905 40104283045 43303353022 58089863810 80208566090 88229422699 91359513083 108258382555 176458845398 182719026166 216516765110 238168441621 441147113495 456797565415 476336883242 882294226990 913595130830 1004954643913 1190842208105 2009909287826 2381684416210 3745740036403 5024773219565 7491480072806 10049546439130 18728700182015 37457400364030 41203140400433 82406280800866 206015702002165 412031404004330