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23444204001064 = 237111716091391393
BaseRepresentation
bin1010101010010100001110…
…11100111001011100101000
310002000020120212221001220021
411111022013130321130220
511033102212211013224
6121510041343010224
74636534142004460
oct525120734713450
9102006525831807
1023444204001064
1175196a3a733a0
122767788599974
131010a18481402
145b09c3d7cba0
152a9c86aca1e4
hex155287739728

23444204001064 has 128 divisors (see below), whose sum is σ = 58064541292800. Its totient is φ = 8591456010240.

The previous prime is 23444204001017. The next prime is 23444204001103. The reversal of 23444204001064 is 46010040244432.

It is a super-2 number, since 2×234442040010642 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16153752 + ... + 17545144.

It is an arithmetic number, because the mean of its divisors is an integer number (453629228850).

Almost surely, 223444204001064 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 23444204001064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29032270646400).

23444204001064 is an abundant number, since it is smaller than the sum of its proper divisors (34620337291736).

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

23444204001064 is a wasteful number, since it uses less digits than its factorization.

23444204001064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1393043 (or 1393039 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 23444204001064 its reverse (46010040244432), we get a palindrome (69454244245496).

The spelling of 23444204001064 in words is "twenty-three trillion, four hundred forty-four billion, two hundred four million, one thousand, sixty-four".

Divisors: 1 2 4 7 8 11 14 17 22 28 34 44 56 68 77 88 119 136 154 187 238 308 374 476 616 748 952 1309 1496 1609 2618 3218 5236 6436 10472 11263 12872 17699 22526 27353 35398 45052 54706 70796 90104 109412 123893 141592 191471 218824 247786 300883 382942 495572 601766 765884 991144 1203532 1391393 1531768 2106181 2407064 2782786 4212362 5565572 8424724 9739751 11131144 15305323 16849448 19479502 23653681 30610646 38959004 47307362 61221292 77918008 94614724 107137261 122442584 165575767 189229448 214274522 260190491 331151534 428549044 520380982 662303068 857098088 1040761964 1324606136 1821333437 2081523928 2238751337 3642666874 4477502674 7285333748 8955005348 14570667496 15671259359 17910010696 24626264707 31342518718 38058772729 49252529414 62685037436 76117545458 98505058828 125370074872 152235090916 172383852949 197010117656 266411409103 304470181832 344767705898 418646500019 532822818206 689535411796 837293000038 1065645636412 1379070823592 1674586000076 2131291272824 2930525500133 3349172000152 5861051000266 11722102000532 23444204001064