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23141200313408 = 2619151212959197
BaseRepresentation
bin1010100001011111110110…
…00001100011110001000000
310000221021111001000220022012
411100233323001203301000
511013121134240012113
6121114530510232052
74605616342110212
oct520577301436100
9100837431026265
1023141200313408
117412145318101
122718b051b5628
13cbb28a279938
145a007bd545b2
152a1e50899aa8
hex150bfb063c40

23141200313408 has 112 divisors (see below), whose sum is σ = 48681498979200. Its totient is φ = 10883729203200.

The previous prime is 23141200313401. The next prime is 23141200313417. The reversal of 23141200313408 is 80431300214132.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (23141200313401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 390888866 + ... + 390948062.

Almost surely, 223141200313408 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 23141200313408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24340749489600).

23141200313408 is an abundant number, since it is smaller than the sum of its proper divisors (25540298665792).

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

23141200313408 is a wasteful number, since it uses less digits than its factorization.

23141200313408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61508 (or 61498 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 23141200313408 in words is "twenty-three trillion, one hundred forty-one billion, two hundred million, three hundred thirteen thousand, four hundred eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 151 152 302 304 604 608 1208 1216 2129 2416 2869 4258 4832 5738 8516 9664 11476 17032 22952 34064 40451 45904 59197 68128 80902 91808 118394 136256 161804 183616 236788 321479 323608 473576 642958 647216 947152 1124743 1285916 1294432 1894304 2249486 2571832 2588864 3788608 4498972 5143664 6108101 8938747 8997944 10287328 12216202 17877494 17995888 20574656 24432404 35754988 35991776 48864808 71509976 71983552 97729616 126030413 143019952 169836193 195459232 252060826 286039904 339672386 390918464 504121652 572079808 679344772 1008243304 1358689544 2016486608 2394577847 2717379088 4032973216 4789155694 5434758176 8065946432 9578311388 10869516352 19030592363 19156622776 38061184726 38313245552 76122369452 76626491104 152244738904 153252982208 304489477808 361581254897 608978955616 723162509794 1217957911232 1446325019588 2892650039176 5785300078352 11570600156704 23141200313408