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2331134232240 = 2435111137814207
BaseRepresentation
bin100001111011000010011…
…011011000011010110000
322020212001202022202012210
4201323002123120122300
5301143130330412430
64542524104452120
7330263452015662
oct41730233303260
98225052282183
102331134232240
118196a0557630
1231795817a040
1313ba957331b8
1480b8292a532
1540988b5e2b0
hex21ec26d86b0

2331134232240 has 160 divisors (see below), whose sum is σ = 7953238388736. Its totient is φ = 560122286080.

The previous prime is 2331134232211. The next prime is 2331134232269. The reversal of 2331134232240 is 422324311332.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2331134232211) and next prime (2331134232269).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2331134232198 and 2331134232207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3608784 + ... + 4205423.

Almost surely, 22331134232240 is an apocalyptic number.

2331134232240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2331134232240 is an abundant number, since it is smaller than the sum of its proper divisors (5622104156496).

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

2331134232240 is a wasteful number, since it uses less digits than its factorization.

2331134232240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7814347 (or 7814341 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 2331134232240 its reverse (422324311332), we get a palindrome (2753458543572).

The spelling of 2331134232240 in words is "two trillion, three hundred thirty-one billion, one hundred thirty-four million, two hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 113 120 132 165 176 220 226 240 264 330 339 440 452 528 565 660 678 880 904 1130 1243 1320 1356 1695 1808 2260 2486 2640 2712 3390 3729 4520 4972 5424 6215 6780 7458 9040 9944 12430 13560 14916 18645 19888 24860 27120 29832 37290 49720 59664 74580 99440 149160 298320 7814207 15628414 23442621 31256828 39071035 46885242 62513656 78142070 85956277 93770484 117213105 125027312 156284140 171912554 187540968 234426210 257868831 312568280 343825108 375081936 429781385 468852420 515737662 625136560 687650216 859562770 883005391 937704840 1031475324 1289344155 1375300432 1719125540 1766010782 1875409680 2062950648 2578688310 2649016173 3438251080 3532021564 4125901296 4415026955 5157376620 5298032346 6876502160 7064043128 8830053910 9713059301 10314753240 10596064692 13245080865 14128086256 17660107820 19426118602 20629506480 21192129384 26490161730 29139177903 35320215640 38852237204 42384258768 48565296505 52980323460 58278355806 70640431280 77704474408 97130593010 105960646920 116556711612 145695889515 155408948816 194261186020 211921293840 233113423224 291391779030 388522372040 466226846448 582783558060 777044744080 1165567116120 2331134232240