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40245312201456 = 24317237927143773
BaseRepresentation
bin10010010011010010101111…
…00010011010001011110000
312021111102012000010000202110
421021221113202122023300
520233334344410421311
6221332235144045320
711322425232254235
oct1111512742321360
9167442160100673
1040245312201456
1111906a395a994a
12461b989763840
13195c1693a845b
149d1c5249778c
1549bd161ed8a6
hex249a5789a2f0

40245312201456 has 160 divisors (see below), whose sum is σ = 116323014850560. Its totient is φ = 11924150464512.

The previous prime is 40245312201401. The next prime is 40245312201461. The reversal of 40245312201456 is 65410221354204.

It is a congruent number.

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, 12089215 + ... + 15054558.

It is an arithmetic number, because the mean of its divisors is an integer number (727018842816).

Almost surely, 240245312201456 is an apocalyptic number.

40245312201456 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

40245312201456 is an abundant number, since it is smaller than the sum of its proper divisors (76077702649104).

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

40245312201456 is a wasteful number, since it uses less digits than its factorization.

40245312201456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27143903 (or 27143897 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

The spelling of 40245312201456 in words is "forty trillion, two hundred forty-five billion, three hundred twelve million, two hundred one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 34 46 48 51 68 69 79 92 102 136 138 158 184 204 237 272 276 316 368 391 408 474 552 632 782 816 948 1104 1173 1264 1343 1564 1817 1896 2346 2686 3128 3634 3792 4029 4692 5372 5451 6256 7268 8058 9384 10744 10902 14536 16116 18768 21488 21804 29072 30889 32232 43608 61778 64464 87216 92667 123556 185334 247112 370668 494224 741336 1482672 27143773 54287546 81431319 108575092 162862638 217150184 325725276 434300368 461444141 624306779 651450552 922888282 1248613558 1302901104 1384332423 1845776564 1872920337 2144358067 2497227116 2768664846 3691553128 3745840674 4288716134 4994454232 5537329692 6433074201 7383106256 7491681348 8577432268 9988908464 10613215243 11074659384 12866148402 14983362696 17154864536 21226430486 22149318768 25732296804 29966725392 31839645729 34309729072 36454087139 42452860972 49320235541 51464593608 63679291458 72908174278 84905721944 98640471082 102929187216 109362261417 127358582916 145816348556 147960706623 169811443888 197280942164 218724522834 254717165832 291632697112 295921413246 394561884328 437449045668 509434331664 583265394224 591842826492 789123768656 838444004197 874898091336 1183685652984 1676888008394 1749796182672 2367371305968 2515332012591 3353776016788 5030664025182 6707552033576 10061328050364 13415104067152 20122656100728 40245312201456