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40349357968896 = 293261143547067
BaseRepresentation
bin10010010110010100100010…
…01001100000111000000000
312021212100202010120122120200
421023022101021200320000
520242040441120001041
6221452123354005200
711333100463555134
oct1113122111407000
9167770663518520
1040349357968896
11119470807389a9
124637b86416800
131968c0b142312
149d6cc29833c4
1549e8a56ee1b6
hex24b291260e00

40349357968896 has 120 divisors (see below), whose sum is σ = 118360012354584. Its totient is φ = 13229297602560.

The previous prime is 40349357968891. The next prime is 40349357968897. The reversal of 40349357968896 is 69886975394304.

40349357968896 is a `hidden beast` number, since 4 + 0 + 34 + 9 + 3 + 579 + 6 + 8 + 8 + 9 + 6 = 666.

It is a super-2 number, since 2×403493579688962 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40349357968891) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71492446 + ... + 72054621.

Almost surely, 240349357968896 is an apocalyptic number.

It is an amenable number.

40349357968896 is an abundant number, since it is smaller than the sum of its proper divisors (78010654385688).

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

40349357968896 is a wasteful number, since it uses less digits than its factorization.

40349357968896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143547152 (or 143547133 counting only the distinct ones).

The product of its (nonzero) digits is 8465264640, while the sum is 81.

The spelling of 40349357968896 in words is "forty trillion, three hundred forty-nine billion, three hundred fifty-seven million, nine hundred sixty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 64 72 96 122 128 144 183 192 244 256 288 366 384 488 512 549 576 732 768 976 1098 1152 1464 1536 1952 2196 2304 2928 3904 4392 4608 5856 7808 8784 11712 15616 17568 23424 31232 35136 46848 70272 93696 140544 281088 143547067 287094134 430641201 574188268 861282402 1148376536 1291923603 1722564804 2296753072 2583847206 3445129608 4593506144 5167694412 6890259216 8756371087 9187012288 10335388824 13780518432 17512742174 18374024576 20670777648 26269113261 27561036864 35025484348 36748049152 41341555296 52538226522 55122073728 70050968696 73496098304 78807339783 82683110592 105076453044 110244147456 140101937392 157614679566 165366221184 210152906088 220488294912 280203874784 315229359132 330732442368 420305812176 560407749568 630458718264 661464884736 840611624352 1120815499136 1260917436528 1681223248704 2241630998272 2521834873056 3362446497408 4483261996544 5043669746112 6724892994816 10087339492224 13449785989632 20174678984448 40349357968896