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3107417742 = 2341113314327
BaseRepresentation
bin1011100100110111…
…0110111010001110
322000120011011210000
42321031312322032
522330444331432
61232202425130
7140001420642
oct27115667216
98016134700
103107417742
111355068a40
127288021a6
133a6a24430
142169a8c22
15132c1157c
hexb9376e8e

3107417742 has 160 divisors (see below), whose sum is σ = 8446040064. Its totient is φ = 840974400.

The previous prime is 3107417717. The next prime is 3107417809. The reversal of 3107417742 is 2477147013.

It is a junction number, because it is equal to n+sod(n) for n = 3107417697 and 3107417706.

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 715983 + ... + 720309.

Almost surely, 23107417742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3107417742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4223020032).

3107417742 is an abundant number, since it is smaller than the sum of its proper divisors (5338622322).

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

3107417742 is a wasteful number, since it uses less digits than its factorization.

3107417742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4396 (or 4387 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 3107417742 is about 55744.2171171145. The cubic root of 3107417742 is about 1459.2617995192.

The spelling of 3107417742 in words is "three billion, one hundred seven million, four hundred seventeen thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 31 33 39 54 62 66 78 81 93 99 117 143 162 186 198 234 279 286 297 341 351 403 429 558 594 682 702 806 837 858 891 1023 1053 1209 1287 1674 1782 2046 2106 2418 2511 2574 3069 3627 3861 4327 4433 5022 6138 7254 7722 8654 8866 9207 10881 11583 12981 13299 18414 21762 23166 25962 26598 27621 32643 38943 39897 47597 55242 56251 65286 77886 79794 95194 112502 116829 119691 134137 142791 168753 233658 239382 268274 285582 337506 350487 359073 402411 428373 506259 618761 700974 718146 804822 856746 1012518 1207233 1237522 1285119 1475507 1518777 1743781 1856283 2414466 2570238 2951014 3037554 3487562 3621699 3712566 3855357 4426521 4556331 5231343 5568849 7243398 7710714 8853042 9112662 10462686 10865097 11137698 13279563 15694029 16706547 19181591 21730194 26559126 31388058 33413094 38363182 39838689 47082087 50119641 57544773 79677378 94164174 100239282 115089546 119516067 141246261 172634319 239032134 282492522 345268638 517902957 1035805914 1553708871 3107417742