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334105113540 = 2235111926643151
BaseRepresentation
bin1001101110010100011…
…01110111001111000100
31011221101100201022020110
410313022031313033010
520433221402113130
6413252532033020
733065302415262
oct4671215671704
91157340638213
10334105113540
11119769698950
1254903162770
1325676829573
1412256863432
158a568c2ab0
hex4dca3773c4

334105113540 has 96 divisors (see below), whose sum is σ = 1074251888640. Its totient is φ = 76732272000.

The previous prime is 334105113533. The next prime is 334105113553. The reversal of 334105113540 is 45311501433.

It is a super-2 number, since 2×3341051135402 (a number of 24 digits) contains 22 as substring.

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 = 334105113498 and 334105113507.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13309036 + ... + 13334115.

It is an arithmetic number, because the mean of its divisors is an integer number (11190123840).

Almost surely, 2334105113540 is an apocalyptic number.

334105113540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

334105113540 is an abundant number, since it is smaller than the sum of its proper divisors (740146775100).

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

334105113540 is a wasteful number, since it uses less digits than its factorization.

334105113540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26643193 (or 26643191 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 334105113540 its reverse (45311501433), we get a palindrome (379416614973).

The spelling of 334105113540 in words is "three hundred thirty-four billion, one hundred five million, one hundred thirteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 30 33 38 44 55 57 60 66 76 95 110 114 132 165 190 209 220 228 285 330 380 418 570 627 660 836 1045 1140 1254 2090 2508 3135 4180 6270 12540 26643151 53286302 79929453 106572604 133215755 159858906 266431510 293074661 319717812 399647265 506219869 532863020 586149322 799294530 879223983 1012439738 1172298644 1465373305 1518659607 1598589060 1758447966 2024879476 2531099345 2930746610 3037319214 3516895932 4396119915 5062198690 5568418559 5861493220 6074638428 7593298035 8792239830 10124397380 11136837118 15186596070 16705255677 17584479660 22273674236 27842092795 30373192140 33410511354 55684185590 66821022708 83526278385 111368371180 167052556770 334105113540