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40123123205445 = 32571163145375377
BaseRepresentation
bin10010001111101111001001…
…00000011000010101000101
312021001201210102221220020200
421013313210200120111011
520224334124020033240
6221200150333521113
711310541253033250
oct1107674440302505
9167051712856220
1040123123205445
111186a137050715
124600168943199
131950795843297
149c9d8053a097
15498a63ea1930
hex247de4818545

40123123205445 has 96 divisors (see below), whose sum is σ = 79606143781632. Its totient is φ = 18313372256256.

The previous prime is 40123123205437. The next prime is 40123123205453. The reversal of 40123123205445 is 54450232132104.

It is a happy number.

40123123205445 is a `hidden beast` number, since 4 + 0 + 1 + 2 + 3 + 1 + 2 + 3 + 205 + 445 = 666.

It is an interprime number because it is at equal distance from previous prime (40123123205437) and next prime (40123123205453).

It is not a de Polignac number, because 40123123205445 - 23 = 40123123205437 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 532261597 + ... + 532336973.

It is an arithmetic number, because the mean of its divisors is an integer number (829230664392).

Almost surely, 240123123205445 is an apocalyptic number.

40123123205445 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40123123205445 is a deficient number, since it is larger than the sum of its proper divisors (39483020576187).

40123123205445 is a wasteful number, since it uses less digits than its factorization.

40123123205445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78011 (or 78008 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 40123123205445 its reverse (54450232132104), we get a palindrome (94573355337549).

The spelling of 40123123205445 in words is "forty trillion, one hundred twenty-three billion, one hundred twenty-three million, two hundred five thousand, four hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 1163 1453 3489 4359 5815 7265 8141 10171 10467 13077 17445 21795 24423 30513 40705 50855 52335 65385 73269 75377 91539 122115 152565 226131 366345 376885 457695 527639 678393 1130655 1582917 1689839 2638195 3391965 4748751 5069517 7914585 8449195 11828873 15208551 23743755 25347585 35486619 59144365 76042755 87663451 106459857 109522781 177433095 262990353 328568343 438317255 532299285 547613905 613644157 766659467 788971059 985705029 1314951765 1642841715 1840932471 2299978401 3068220785 3833297335 3944855295 4928525145 5522797413 6899935203 9204662355 11499892005 27613987065 34499676015 127374994303 382124982909 636874971515 891624960121 1146374948727 1910624914545 2674874880363 4458124800605 5731874743635 8024624641089 13374374401815 40123123205445