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10434244217712 = 2437311001751557
BaseRepresentation
bin1001011111010110100101…
…1010111000101101110000
31100221111121102100010100220
42113311221122320231300
52331423313004431322
634105231533413040
72124564204320610
oct227655132705560
940844542303326
1010434244217712
113363157927a97
12120628733a180
135a8c39249b83
1428103d2a2a40
15131642d7b55c
hex97d696b8b70

10434244217712 has 80 divisors (see below), whose sum is σ = 31799601457152. Its totient is φ = 2885044481280.

The previous prime is 10434244217701. The next prime is 10434244217759. The reversal of 10434244217712 is 21771244243401.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 500865363 + ... + 500886194.

Almost surely, 210434244217712 is an apocalyptic number.

10434244217712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10434244217712 is an abundant number, since it is smaller than the sum of its proper divisors (21365357239440).

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

10434244217712 is a wasteful number, since it uses less digits than its factorization.

10434244217712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001751606 (or 1001751600 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 42.

The spelling of 10434244217712 in words is "ten trillion, four hundred thirty-four billion, two hundred forty-four million, two hundred seventeen thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 168 186 217 248 336 372 434 496 651 744 868 1302 1488 1736 2604 3472 5208 10416 1001751557 2003503114 3005254671 4007006228 6010509342 7012260899 8014012456 12021018684 14024521798 16028024912 21036782697 24042037368 28049043596 31054298267 42073565394 48084074736 56098087192 62108596534 84147130788 93162894801 112196174384 124217193068 168294261576 186325789602 217380087869 248434386136 336588523152 372651579204 434760175738 496868772272 652140263607 745303158408 869520351476 1304280527214 1490606316816 1739040702952 2608561054428 3478081405904 5217122108856 10434244217712