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40001022211212 = 223317915461133831
BaseRepresentation
bin10010001100001011101101…
…01110000011010010001100
312020122001122000101201111000
421012011312232003102030
520220334043141224322
6221024114345500300
711265656422513236
oct1106056656032214
9166561560351430
1040001022211212
111182237a239527
1245a05714a1690
1319421072b067a
149c40ba169256
154957b98393ac
hex246176b8348c

40001022211212 has 96 divisors (see below), whose sum is σ = 104293243353600. Its totient is φ = 13258227614400.

The previous prime is 40001022211193. The next prime is 40001022211247. The reversal of 40001022211212 is 21211222010004.

40001022211212 is a `hidden beast` number, since 400 + 0 + 10 + 22 + 21 + 1 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 298825137 + ... + 298958967.

It is an arithmetic number, because the mean of its divisors is an integer number (1086387951600).

Almost surely, 240001022211212 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 40001022211212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52146621676800).

40001022211212 is an abundant number, since it is smaller than the sum of its proper divisors (64292221142388).

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

40001022211212 is a wasteful number, since it uses less digits than its factorization.

40001022211212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149484 (or 149476 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 40001022211212 its reverse (21211222010004), we get a palindrome (61212244221216).

The spelling of 40001022211212 in words is "forty trillion, one billion, twenty-two million, two hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 179 358 537 716 1074 1611 2148 3222 4833 6444 9666 15461 19332 30922 46383 61844 92766 133831 139149 185532 267662 278298 401493 417447 535324 556596 802986 834894 1204479 1605972 1669788 2408958 2767519 3613437 4817916 5535038 7226874 8302557 11070076 14453748 16605114 23955749 24907671 33210228 47911498 49815342 71867247 74723013 95822996 99630684 143734494 149446026 215601741 287468988 298892052 431203482 646805223 862406964 1293610446 2069161091 2587220892 4138322182 6207483273 8276644364 12414966546 18622449819 24829933092 37244899638 55867349457 74489799276 111734698914 223469397828 370379835289 740759670578 1111139505867 1481519341156 2222279011734 3333418517601 4444558023468 6666837035202 10000255552803 13333674070404 20000511105606 40001022211212