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3114105036630 = 2357371447276977
BaseRepresentation
bin101101010100001111000…
…111111101111101010110
3102000201001100000201102220
4231110033013331331112
5402010141342133010
610342333342243210
7440662266031260
oct55241707757526
912021040021386
103114105036630
11aa0759121645
1242364b586506
13197874636663
14aaa1b372b30
1556011e0d970
hex2d50f1fdf56

3114105036630 has 128 divisors (see below), whose sum is σ = 8778491983872. Its totient is φ = 692076607488.

The previous prime is 3114105036607. The next prime is 3114105036631. The reversal of 3114105036630 is 366305014113.

It is a junction number, because it is equal to n+sod(n) for n = 3114105036591 and 3114105036600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3114105036631) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11104702 + ... + 11381678.

It is an arithmetic number, because the mean of its divisors is an integer number (68581968624).

Almost surely, 23114105036630 is an apocalyptic number.

3114105036630 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3114105036630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4389245991936).

3114105036630 is an abundant number, since it is smaller than the sum of its proper divisors (5664386947242).

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

3114105036630 is a wasteful number, since it uses less digits than its factorization.

3114105036630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278478.

The product of its (nonzero) digits is 19440, while the sum is 33.

The spelling of 3114105036630 in words is "three trillion, one hundred fourteen billion, one hundred five million, thirty-six thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 37 42 70 74 105 111 185 210 222 259 370 518 555 777 1110 1295 1447 1554 2590 2894 3885 4341 7235 7770 8682 10129 14470 20258 21705 30387 43410 50645 53539 60774 101290 107078 151935 160617 267695 276977 303870 321234 374773 535390 553954 749546 803085 830931 1124319 1384885 1606170 1661862 1873865 1938839 2248638 2769770 3747730 3877678 4154655 5621595 5816517 8309310 9694195 10248149 11243190 11633034 19388390 20496298 29082585 30744447 51240745 58165170 61488894 71737043 102481490 143474086 153722235 215211129 307444470 358685215 400785719 430422258 717370430 801571438 1076055645 1202357157 2003928595 2152111290 2404714314 2805500033 4007857190 5611000066 6011785785 8416500099 12023571570 14027500165 14829071603 16833000198 28055000330 29658143206 42082500495 44487214809 74145358015 84165000990 88974429618 103803501221 148290716030 207607002442 222436074045 311410503663 444872148090 519017506105 622821007326 1038035012210 1557052518315 3114105036630