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33140031002 = 213219127179227
BaseRepresentation
bin11110110111010011…
…001011111000011010
310011112120211000010122
4132313103023320122
51020332321443002
623120241513242
72252145421121
oct366723137032
9104476730118
1033140031002
1113066757881
12650a642822
133181a97b00
1418654a2ab8
15cde62d6a2
hex7b74cbe1a

33140031002 has 96 divisors (see below), whose sum is σ = 57679257600. Its totient is φ = 14232988224.

The previous prime is 33140030993. The next prime is 33140031007. The reversal of 33140031002 is 20013004133.

It is a happy number.

It is a super-3 number, since 3×331400310023 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (33140031007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145991213 + ... + 145991439.

It is an arithmetic number, because the mean of its divisors is an integer number (600825600).

Almost surely, 233140031002 is an apocalyptic number.

33140031002 is a deficient number, since it is larger than the sum of its proper divisors (24539226598).

33140031002 is a wasteful number, since it uses less digits than its factorization.

33140031002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 33140031002 its reverse (20013004133), we get a palindrome (53153035135).

The spelling of 33140031002 in words is "thirty-three billion, one hundred forty million, thirty-one thousand, two".

Divisors: 1 2 13 19 26 38 127 169 179 227 247 254 338 358 454 494 1651 2327 2413 2951 3211 3302 3401 4313 4654 4826 5902 6422 6802 8626 21463 22733 28829 30251 31369 38363 40633 42926 44213 45466 56069 57658 60502 62738 76726 81266 88426 112138 295529 374777 407797 431927 528229 547751 574769 591058 728897 749554 772027 815594 863854 1056458 1095502 1149538 1457794 1544054 3841877 4872101 5160391 5615051 6866977 7120763 7683754 9744202 10036351 10320782 11230102 13733954 14241526 20072702 67085083 72995663 92569919 98047429 130472563 134170166 145991326 185139838 196094858 260945126 872106079 1274616577 1744212158 2549233154 16570015501 33140031002