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22402044441440 = 2554112726889337
BaseRepresentation
bin1010001011111111000011…
…11001101011001101100000
32221022121120222212010000222
411011333201321223031200
510414013341334111230
6115351205050502212
74501331354626436
oct505774171531540
987277528763028
1022402044441440
117157721081344
1226197bb434968
13c666718c0ab1
1457639c616d56
1528cadde9c6e5
hex145fe1e6b360

22402044441440 has 96 divisors (see below), whose sum is σ = 54642576651264. Its totient is φ = 8673424220160.

The previous prime is 22402044441433. The next prime is 22402044441461. The reversal of 22402044441440 is 4414444020422.

It is a self number, because there is not a number n which added to its sum of digits gives 22402044441440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12611549 + ... + 14277788.

It is an arithmetic number, because the mean of its divisors is an integer number (569193506784).

Almost surely, 222402044441440 is an apocalyptic number.

22402044441440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22402044441440 is an abundant number, since it is smaller than the sum of its proper divisors (32240532209824).

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

22402044441440 is a wasteful number, since it uses less digits than its factorization.

22402044441440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26889520 (or 26889512 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 35.

Adding to 22402044441440 its reverse (4414444020422), we get a palindrome (26816488461862).

The spelling of 22402044441440 in words is "twenty-two trillion, four hundred two billion, forty-four million, four hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 127 160 164 205 254 328 410 508 635 656 820 1016 1270 1312 1640 2032 2540 3280 4064 5080 5207 6560 10160 10414 20320 20828 26035 41656 52070 83312 104140 166624 208280 416560 833120 26889337 53778674 107557348 134446685 215114696 268893370 430229392 537786740 860458784 1075573480 1102462817 2151146960 2204925634 3414945799 4302293920 4409851268 5512314085 6829891598 8819702536 11024628170 13659783196 17074728995 17639405072 22049256340 27319566392 34149457990 35278810144 44098512680 54639132784 68298915980 88197025360 109278265568 136597831960 140012777759 176394050720 273195663920 280025555518 546391327840 560051111036 700063888795 1120102222072 1400127777590 2240204444144 2800255555180 4480408888288 5600511110360 11201022220720 22402044441440