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40223413104 = 24372311346061
BaseRepresentation
bin100101011101100000…
…001001001101110000
310211211020110002122220
4211131200021031300
51124334143204404
630251155201040
72622526240650
oct453540111560
9124736402586
1040223413104
1116071082676
1279668a6180
133a40446674
141d38126360
1510a64184d9
hex95d809370

40223413104 has 160 divisors (see below), whose sum is σ = 125017426944. Its totient is φ = 10895216640.

The previous prime is 40223413093. The next prime is 40223413121. The reversal of 40223413104 is 40131432204.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 850234 + ... + 896294.

Almost surely, 240223413104 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 40223413104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62508713472).

40223413104 is an abundant number, since it is smaller than the sum of its proper divisors (84794013840).

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

40223413104 is a wasteful number, since it uses less digits than its factorization.

40223413104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46215 (or 46209 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 40223413104 its reverse (40131432204), we get a palindrome (80354845308).

The spelling of 40223413104 in words is "forty billion, two hundred twenty-three million, four hundred thirteen thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 92 112 113 138 161 168 184 226 276 322 336 339 368 452 483 552 644 678 791 904 966 1104 1288 1356 1582 1808 1932 2373 2576 2599 2712 3164 3864 4746 5198 5424 6328 7728 7797 9492 10396 12656 15594 18193 18984 20792 31188 36386 37968 41584 46061 54579 62376 72772 92122 109158 124752 138183 145544 184244 218316 276366 291088 322427 368488 436632 552732 644854 736976 873264 967281 1059403 1105464 1289708 1934562 2118806 2210928 2579416 3178209 3869124 4237612 5158832 5204893 6356418 7415821 7738248 8475224 10409786 12712836 14831642 15476496 15614679 16950448 20819572 22247463 25425672 29663284 31229358 36434251 41639144 44494926 50851344 59326568 62458716 72868502 83278288 88989852 109302753 118653136 119712539 124917432 145737004 177979704 218605506 239425078 249834864 291474008 355959408 359137617 437211012 478850156 582948016 718275234 837987773 874422024 957700312 1436550468 1675975546 1748844048 1915400624 2513963319 2873100936 3351951092 5027926638 5746201872 6703902184 10055853276 13407804368 20111706552 40223413104