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45948943942440 = 23357114972829431
BaseRepresentation
bin10100111001010010100100…
…11110110100001100101000
320000200200020220111002221220
422130221102132310030220
522010311414122124230
6241420353050502040
712451462444164150
oct1234512236641450
9200620226432856
1045948943942440
1113705923a72830
1251a1268434920
131c83c75150cc6
14b4bd255d7760
1554a386758d10
hex29ca527b4328

45948943942440 has 128 divisors (see below), whose sum is σ = 171860985169920. Its totient is φ = 9547832505600.

The previous prime is 45948943942417. The next prime is 45948943942477. The reversal of 45948943942440 is 4424934984954.

It is a super-2 number, since 2×459489439424402 (a number of 28 digits) contains 22 as substring.

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, 2486405476 + ... + 2486423955.

It is an arithmetic number, because the mean of its divisors is an integer number (1342663946640).

Almost surely, 245948943942440 is an apocalyptic number.

45948943942440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45948943942440 is an abundant number, since it is smaller than the sum of its proper divisors (125912041227480).

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

45948943942440 is a wasteful number, since it uses less digits than its factorization.

45948943942440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4972829463 (or 4972829459 counting only the distinct ones).

The product of its (nonzero) digits is 716636160, while the sum is 69.

The spelling of 45948943942440 in words is "forty-five trillion, nine hundred forty-eight billion, nine hundred forty-three million, nine hundred forty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 462 616 660 770 840 924 1155 1320 1540 1848 2310 3080 4620 9240 4972829431 9945658862 14918488293 19891317724 24864147155 29836976586 34809806017 39782635448 49728294310 54701123741 59673953172 69619612034 74592441465 99456588620 104429418051 109402247482 119347906344 139239224068 149184882930 164103371223 174049030085 198913177240 208858836102 218804494964 273505618705 278478448136 298369765860 328206742446 348098060170 382907866187 417717672204 437608989928 522147090255 547011237410 596739531720 656413484892 696196120340 765815732374 820516856115 835435344408 1044294180510 1094022474820 1148723598561 1312826969784 1392392240680 1531631464748 1641033712230 1914539330935 2088588361020 2188044949640 2297447197122 3063262929496 3282067424460 3829078661870 4177176722040 4594894394244 5743617992805 6564134848920 7658157323740 9189788788488 11487235985610 15316314647480 22974471971220 45948943942440