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4542612525440 = 275111933960919
BaseRepresentation
bin100001000011010100011…
…0011100101000110000000
3121002021021110212222211122
41002012220303211012000
51043411232301303230
613354503011331412
7646123113242513
oct102065063450600
917067243788748
104542612525440
1114a1569388140
1261447b8b0b68
1326c49c335bb2
14119c13ab2d7a
157d26cb2bbe5
hex421a8ce5180

4542612525440 has 128 divisors (see below), whose sum is σ = 12470449824000. Its totient is φ = 1564919101440.

The previous prime is 4542612525431. The next prime is 4542612525469. The reversal of 4542612525440 is 445252162454.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 4542612525391 and 4542612525400.

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, 16846700 + ... + 17114219.

It is an arithmetic number, because the mean of its divisors is an integer number (97425389250).

Almost surely, 24542612525440 is an apocalyptic number.

4542612525440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4542612525440 is an abundant number, since it is smaller than the sum of its proper divisors (7927837298560).

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

4542612525440 is a wasteful number, since it uses less digits than its factorization.

4542612525440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33960968 (or 33960956 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 44.

Adding to 4542612525440 its reverse (445252162454), we get a palindrome (4987864687894).

The spelling of 4542612525440 in words is "four trillion, five hundred forty-two billion, six hundred twelve million, five hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 32 38 40 44 55 64 76 80 88 95 110 128 152 160 176 190 209 220 304 320 352 380 418 440 608 640 704 760 836 880 1045 1216 1408 1520 1672 1760 2090 2432 3040 3344 3520 4180 6080 6688 7040 8360 12160 13376 16720 26752 33440 66880 133760 33960919 67921838 135843676 169804595 271687352 339609190 373570109 543374704 645257461 679218380 747140218 1086749408 1290514922 1358436760 1494280436 1867850545 2173498816 2581029844 2716873520 2988560872 3226287305 3735701090 4346997632 5162059688 5433747040 5977121744 6452574610 7097832071 7471402180 10324119376 10867494080 11954243488 12905149220 14195664142 14942804360 20648238752 21734988160 23908486976 25810298440 28391328284 29885608720 35489160355 41296477504 47816973952 51620596880 56782656568 59771217440 70978320710 82592955008 103241193760 113565313136 119542434880 141956641420 206482387520 227130626272 239084869760 283913282840 412964775040 454261252544 567826565680 908522505088 1135653131360 2271306262720 4542612525440