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23223414402144 = 25321118797389989
BaseRepresentation
bin1010100011111000111110…
…10111011010110001100000
310001020010200200100100001200
411101330133113122301200
511020443023041332034
6121220404515401200
74614556600250055
oct521743727326140
9101203620310050
1023223414402144
117443aa3aa6890
122730a2a5b3200
13cc5c60006a18
145a403ab9702c
152a4163419a99
hex151f1f5dac60

23223414402144 has 144 divisors (see below), whose sum is σ = 72049382692560. Its totient is φ = 7037005870080.

The previous prime is 23223414402109. The next prime is 23223414402169. The reversal of 23223414402144 is 44120441432232.

23223414402144 is a `hidden beast` number, since 2 + 3 + 2 + 23 + 414 + 4 + 0 + 214 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 23223414402099 and 23223414402108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59353902 + ... + 59743890.

It is an arithmetic number, because the mean of its divisors is an integer number (500342935365).

Almost surely, 223223414402144 is an apocalyptic number.

23223414402144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23223414402144 is an abundant number, since it is smaller than the sum of its proper divisors (48825968290416).

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

23223414402144 is a wasteful number, since it uses less digits than its factorization.

23223414402144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408813 (or 408802 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 23223414402144 its reverse (44120441432232), we get a palindrome (67343855834376).

The spelling of 23223414402144 in words is "twenty-three trillion, two hundred twenty-three billion, four hundred fourteen million, four hundred two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 18797 37594 56391 75188 112782 150376 169173 206767 225564 300752 338346 389989 413534 451128 601504 620301 676692 779978 827068 902256 1169967 1240602 1353384 1559956 1654136 1804512 1860903 2339934 2481204 2706768 3119912 3308272 3509901 3721806 4289879 4679868 4962408 5413536 6239824 6616544 7019802 7443612 8579758 9359736 9924816 12479648 12869637 14039604 14887224 17159516 18719472 19849632 25739274 28079208 29774448 34319032 37438944 38608911 51478548 56158416 59548896 68638064 77217822 102957096 112316832 137276128 154435644 205914192 308871288 411828384 617742576 1235485152 7330623233 14661246466 21991869699 29322492932 43983739398 58644985864 65975609097 80636855563 87967478796 117289971728 131951218194 161273711126 175934957592 234579943456 241910566689 263902436388 322547422252 351869915184 483821133378 527804872776 645094844504 703739830368 725731700067 967642266756 1055609745552 1290189689008 1451463400134 1935284533512 2111219491104 2580379378016 2902926800268 3870569067024 5805853600536 7741138134048 11611707201072 23223414402144