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23440914663390 = 234576136744209
BaseRepresentation
bin1010101010001110000110…
…11001000100011111011110
310001222221002122110101220000
411111013003121010133132
511033023443123212030
6121504335121035130
74636356501050640
oct525070331043736
9101887078411800
1023440914663390
117518266251304
12276700aa85aa6
131010612b63263
145b079117a890
152a9b42e31860
hex1551c36447de

23440914663390 has 160 divisors (see below), whose sum is σ = 72151824634560. Its totient is φ = 5349182063616.

The previous prime is 23440914663377. The next prime is 23440914663407. The reversal of 23440914663390 is 9336641904432.

23440914663390 is a `hidden beast` number, since 2 + 3 + 4 + 4 + 0 + 91 + 466 + 3 + 3 + 90 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 103606 + ... + 6847814.

It is an arithmetic number, because the mean of its divisors is an integer number (450948903966).

Almost surely, 223440914663390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23440914663390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36075912317280).

23440914663390 is an abundant number, since it is smaller than the sum of its proper divisors (48710909971170).

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

23440914663390 is a wasteful number, since it uses less digits than its factorization.

23440914663390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6744848 (or 6744839 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 54.

The spelling of 23440914663390 in words is "twenty-three trillion, four hundred forty billion, nine hundred fourteen million, six hundred sixty-three thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 270 315 378 405 567 613 630 810 945 1134 1226 1839 1890 2835 3065 3678 4291 5517 5670 6130 8582 9195 11034 12873 16551 18390 21455 25746 27585 33102 38619 42910 49653 55170 64365 77238 82755 99306 115857 128730 165510 193095 231714 248265 347571 386190 496530 579285 695142 1158570 1737855 3475710 6744209 13488418 20232627 33721045 40465254 47209463 60697881 67442090 94418926 101163135 121395762 141628389 182093643 202326270 236047315 283256778 303489405 364187286 424885167 472094630 546280929 606978810 708141945 849770334 910468215 1092561858 1274655501 1416283890 1820936430 2124425835 2549311002 2731404645 3823966503 4134200117 4248851670 5462809290 6373277505 7647933006 8268400234 12402600351 12746555010 19119832515 20671000585 24805200702 28939400819 37207801053 38239665030 41342001170 57878801638 62013001755 74415602106 86818202457 111623403159 124026003510 144697004095 173636404914 186039005265 223246806318 260454607371 289394008190 334870209477 372078010530 434091012285 520909214742 558117015795 669740418954 781363822113 868182024570 1116234031590 1302273036855 1562727644226 1674351047385 2344091466339 2604546073710 3348702094770 3906819110565 4688182932678 7813638221130 11720457331695 23440914663390