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100043744406672 = 243114121121902299
BaseRepresentation
bin10110101111110100111111…
…110110001110110010010000
3111010020002101120010122002210
4112233310333312032302100
5101103104042032003142
6552435243421112120
730033631151360463
oct2657647766166220
9433202346118083
10100043744406672
112997134a645390
12b2791936b8640
1343a9113b99651
141a9c2007dd2da
15b87579d9049c
hex5afd3fd8ec90

100043744406672 has 160 divisors (see below), whose sum is σ = 290186901849600. Its totient is φ = 29436688512000.

The previous prime is 100043744406667. The next prime is 100043744406743. The reversal of 100043744406672 is 276604447340001.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6383422 + ... + 15518877.

It is an arithmetic number, because the mean of its divisors is an integer number (1813668136560).

Almost surely, 2100043744406672 is an apocalyptic number.

100043744406672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100043744406672 is an abundant number, since it is smaller than the sum of its proper divisors (190143157442928).

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

100043744406672 is a wasteful number, since it uses less digits than its factorization.

100043744406672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21902573 (or 21902567 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 48.

The spelling of 100043744406672 in words is "one hundred trillion, forty-three billion, seven hundred forty-four million, four hundred six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 41 44 48 66 82 88 123 132 164 176 211 246 264 328 422 451 492 528 633 656 844 902 984 1266 1353 1688 1804 1968 2321 2532 2706 3376 3608 4642 5064 5412 6963 7216 8651 9284 10128 10824 13926 17302 18568 21648 25953 27852 34604 37136 51906 55704 69208 95161 103812 111408 138416 190322 207624 285483 380644 415248 570966 761288 1141932 1522576 2283864 4567728 21902299 43804598 65706897 87609196 131413794 175218392 240925289 262827588 350436784 481850578 525655176 722775867 897994259 963701156 1051310352 1445551734 1795988518 1927402312 2693982777 2891103468 3591977036 3854804624 4621385089 5387965554 5782206936 7183954072 9242770178 9877936849 10775931108 11564413872 13864155267 14367908144 18485540356 19755873698 21551862216 27728310534 29633810547 36971080712 39511747396 43103724432 50835235979 55456621068 59267621094 73942161424 79023494792 101670471958 110913242136 118535242188 152505707937 158046989584 189476788649 203340943916 221826484272 237070484376 305011415874 378953577298 406681887832 474140968752 568430365947 610022831748 757907154596 813363775664 1136860731894 1220045663496 1515814309192 2084244675139 2273721463788 2440091326992 3031628618384 4168489350278 4547442927576 6252734025417 8336978700556 9094885855152 12505468050834 16673957401112 25010936101668 33347914802224 50021872203336 100043744406672