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1453332605136 = 2431919323335437
BaseRepresentation
bin10101001001100001010…
…111111010100011010000
312010221022020200211220120
4111021201113322203100
5142302411121331021
63031352441310240
7206666636213526
oct25114127724320
95127266624816
101453332605136
1151039a404965
121b57ba195380
13a7082c338a9
14504ad7a2316
1527c103982c6
hex152615fa8d0

1453332605136 has 160 divisors (see below), whose sum is σ = 3989683751040. Its totient is φ = 454596820992.

The previous prime is 1453332605113. The next prime is 1453332605141. The reversal of 1453332605136 is 6315062333541.

It is a super-2 number, since 2×14533326051362 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40994010 + ... + 41029446.

It is an arithmetic number, because the mean of its divisors is an integer number (24935523444).

Almost surely, 21453332605136 is an apocalyptic number.

1453332605136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1453332605136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1994841875520).

1453332605136 is an abundant number, since it is smaller than the sum of its proper divisors (2536351145904).

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

1453332605136 is a wasteful number, since it uses less digits than its factorization.

1453332605136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35893 (or 35887 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 42.

Adding to 1453332605136 its reverse (6315062333541), we get a palindrome (7768394938677).

The spelling of 1453332605136 in words is "one trillion, four hundred fifty-three billion, three hundred thirty-two million, six hundred five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 193 228 233 304 386 456 466 579 699 772 912 932 1158 1398 1544 1864 2316 2796 3088 3667 3728 4427 4632 5592 7334 8854 9264 11001 11184 13281 14668 17708 22002 26562 29336 35416 35437 44004 44969 53124 58672 70832 70874 88008 89938 106248 106311 134907 141748 176016 179876 212496 212622 269814 283496 359752 425244 539628 566992 673303 719504 850488 854411 1079256 1346606 1700976 1708822 2019909 2158512 2563233 2693212 3417644 4039818 5126466 5386424 6835288 6839341 8079636 8256821 10252932 10772848 13670576 13678682 16159272 16513642 20505864 20518023 24770463 27357364 32318544 33027284 41011728 41036046 49540926 54714728 66054568 82072092 99081852 109429456 129947479 132109136 156879599 164144184 198163704 259894958 313759198 328288368 389842437 396327408 470638797 519789916 627518396 779684874 941277594 1039579832 1255036792 1559369748 1593566453 1882555188 2079159664 2510073584 3118739496 3187132906 3765110376 4780699359 6237478992 6374265812 7530220752 9561398718 12748531624 19122797436 25497063248 30277762607 38245594872 60555525214 76491189744 90833287821 121111050428 181666575642 242222100856 363333151284 484444201712 726666302568 1453332605136