Search a number
-
+
3955808429040 = 2435131267887317
BaseRepresentation
bin111001100100001000100…
…011100110001111110000
3112000011122002110022000210
4321210020203212033300
51004302443424212130
612225135011144120
7555540422565606
oct71441043461760
915004562408023
103955808429040
1112957158042a6
1253a7b42a5040
1322905352bc90
14d96681d1876
156cd7650b5b0
hex399088e63f0

3955808429040 has 80 divisors (see below), whose sum is σ = 13206314304288. Its totient is φ = 973737458688.

The previous prime is 3955808429029. The next prime is 3955808429051. The reversal of 3955808429040 is 409248085593.

It is an interprime number because it is at equal distance from previous prime (3955808429029) and next prime (3955808429051).

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 633940539 + ... + 633946778.

Almost surely, 23955808429040 is an apocalyptic number.

3955808429040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3955808429040 is an abundant number, since it is smaller than the sum of its proper divisors (9250505875248).

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

3955808429040 is a wasteful number, since it uses less digits than its factorization.

3955808429040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1267887346 (or 1267887340 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 57.

The spelling of 3955808429040 in words is "three trillion, nine hundred fifty-five billion, eight hundred eight million, four hundred twenty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 1267887317 2535774634 3803661951 5071549268 6339436585 7607323902 10143098536 12678873170 15214647804 16482535121 19018309755 20286197072 25357746340 30429295608 32965070242 38036619510 49447605363 50715492680 60858591216 65930140484 76073239020 82412675605 98895210726 101430985360 131860280968 152146478040 164825351210 197790421452 247238026815 263720561936 304292956080 329650702420 395580842904 494476053630 659301404840 791161685808 988952107260 1318602809680 1977904214520 3955808429040