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32357241130040 = 235792452328657
BaseRepresentation
bin1110101101101110000011…
…10111010000110000111000
311020120022200202202022211122
413112313001313100300320
513220120112212130130
6152452413353244412
76546506412401651
oct726670167206070
9136508622668748
1032357241130040
11a3456a1080382
123767072703708
131509375803168
147dc155276528
153b1a458a52e5
hex1d6dc1dd0c38

32357241130040 has 96 divisors (see below), whose sum is σ = 73755901280880. Its totient is φ = 12775791135744.

The previous prime is 32357241130013. The next prime is 32357241130043. The reversal of 32357241130040 is 4003114275323.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32357241130043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1129107392 + ... + 1129136048.

Almost surely, 232357241130040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32357241130040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36877950640440).

32357241130040 is an abundant number, since it is smaller than the sum of its proper divisors (41398660150840).

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

32357241130040 is a wasteful number, since it uses less digits than its factorization.

32357241130040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33349 (or 33266 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 35.

The spelling of 32357241130040 in words is "thirty-two trillion, three hundred fifty-seven billion, two hundred forty-one million, one hundred thirty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 79 158 316 395 632 790 1580 3160 4523 6241 9046 12482 18092 22615 24964 28657 31205 36184 45230 49928 57314 62410 90460 114628 124820 143285 180920 229256 249640 286570 357317 573140 714634 1146280 1429268 1786585 2263903 2858536 3573170 4527806 7146340 9055612 11319515 14292680 18111224 22639030 28228043 45278060 56456086 90556120 112912172 129615611 141140215 178848337 225824344 259231222 282280430 357696674 518462444 564560860 648078055 715393348 894241685 1036924888 1129121720 1296156110 1430786696 1788483370 2592312220 3576966740 5184624440 7153933480 10239633269 20479266538 40958533076 51198166345 81917066152 102396332690 204792665380 409585330760 808931028251 1617862056502 3235724113004 4044655141255 6471448226008 8089310282510 16178620565020 32357241130040