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2132122440294 = 2327112269519881
BaseRepresentation
bin11111000001101100011…
…001101001001001100110
321112211101021112020022200
4133001230121221021212
5234413041321042134
64311252235235330
7310016660501010
oct37015431511146
97484337466280
102132122440294
11752256595800
122a52775a8b46
1312609b082b22
14752a3ba71b0
153a6dc33c499
hex1f06c669266

2132122440294 has 144 divisors (see below), whose sum is σ = 5824716337440. Its totient is φ = 551738246400.

The previous prime is 2132122440293. The next prime is 2132122440319. The reversal of 2132122440294 is 4920442212312.

2132122440294 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 122 + 440 + 2 + 94 = 666.

It is a super-2 number, since 2×21321224402942 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132122440293) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3841234 + ... + 4361114.

It is an arithmetic number, because the mean of its divisors is an integer number (40449419010).

Almost surely, 22132122440294 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2132122440294, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2912358168720).

2132122440294 is an abundant number, since it is smaller than the sum of its proper divisors (3692593897146).

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

2132122440294 is a wasteful number, since it uses less digits than its factorization.

2132122440294 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520187 (or 520173 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 2132122440294 in words is "two trillion, one hundred thirty-two billion, one hundred twenty-two million, four hundred forty thousand, two hundred ninety-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 121 126 154 198 231 242 269 363 462 538 693 726 807 847 1089 1386 1614 1694 1883 2178 2421 2541 2959 3766 4842 5082 5649 5918 7623 8877 11298 15246 16947 17754 20713 26631 32549 33894 41426 53262 62139 65098 97647 124278 186417 195294 227843 292941 372834 455686 519881 585882 683529 1039762 1367058 1559643 2050587 3119286 3639167 4101174 4678929 5718691 7278334 9357858 10917501 11437382 17156073 21835002 32752503 34312146 40030837 51468219 62905601 65505006 80061674 102936438 120092511 125811202 139847989 188716803 240185022 279695978 360277533 377433606 419543967 440339207 566150409 720555066 839087934 880678414 978935923 1132300818 1258631901 1321017621 1538327879 1957871846 2517263802 2642035242 2936807769 3076655758 3963052863 4614983637 5873615538 7926105726 8810423307 9229967274 10768295153 13844950911 16921606669 17620846614 21536590306 27689901822 32304885459 33843213338 50764820007 64609770918 96914656377 101529640014 118451246683 152294460021 193829312754 236902493366 304588920042 355353740049 710707480098 1066061220147 2132122440294