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10034001044430 = 23511307880311251
BaseRepresentation
bin1001001000000011100100…
…0100010110001111001110
31022112020111210012021100020
42102000321010112033032
52303344113231410210
633201320105243010
72053634620426566
oct222007104261716
938466453167306
1010034001044430
11321943a004a40
1211607a6793466
1357a28241951c
14269910abdda6
15126019e4b770
hex920391163ce

10034001044430 has 128 divisors (see below), whose sum is σ = 26361748740096. Its totient is φ = 2424070800000.

The previous prime is 10034001044407. The next prime is 10034001044443. The reversal of 10034001044430 is 3444010043001.

It is a self number, because there is not a number n which added to its sum of digits gives 10034001044430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 891826305 + ... + 891837555.

It is an arithmetic number, because the mean of its divisors is an integer number (205951162032).

Almost surely, 210034001044430 is an apocalyptic number.

10034001044430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10034001044430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13180874370048).

10034001044430 is an abundant number, since it is smaller than the sum of its proper divisors (16327747695666).

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

10034001044430 is a wasteful number, since it uses less digits than its factorization.

10034001044430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20382.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10034001044430 its reverse (3444010043001), we get a palindrome (13478011087431).

The spelling of 10034001044430 in words is "ten trillion, thirty-four billion, one million, forty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 307 330 614 921 1535 1842 3070 3377 4605 6754 8803 9210 10131 11251 16885 17606 20262 22502 26409 33753 33770 44015 50655 52818 56255 67506 88030 96833 101310 112510 123761 132045 168765 193666 247522 264090 290499 337530 371283 484165 580998 618805 742566 968330 1237610 1452495 1856415 2702521 2904990 3454057 3712830 5405042 6908114 8107563 10362171 13512605 16215126 17270285 20724342 27025210 29727731 34540570 37994627 40537815 51810855 59455462 75989254 81075630 89183193 99042553 103621710 113983881 148638655 178366386 189973135 198085106 227967762 297127659 297277310 379946270 445915965 495212765 569919405 594255318 891831930 990425530 1089468083 1139838810 1485638295 2178936166 2971276590 3268404249 5447340415 6536808498 10894680830 16342021245 30406063771 32684042490 60812127542 91218191313 152030318855 182436382626 304060637710 334466701481 456090956565 668933402962 912181913130 1003400104443 1672333507405 2006800208886 3344667014810 5017000522215 10034001044430