Search a number
-
+
841430974896 = 2432191801170761
BaseRepresentation
bin11000011111010010011…
…00011100000110110000
32222102212202211100000100
430033221030130012300
5102241222312144041
61442314213552400
7114535305164211
oct14175114340660
92872782740010
10841430974896
112a4937938416
121170a9645700
1361467634335
142ca229c9408
1516d4a73b6b6
hexc3e931c1b0

841430974896 has 120 divisors (see below), whose sum is σ = 2480167779440. Its totient is φ = 265565952000.

The previous prime is 841430974859. The next prime is 841430974907. The reversal of 841430974896 is 698479034148.

841430974896 is a `hidden beast` number, since 8 + 4 + 143 + 0 + 9 + 7 + 489 + 6 = 666.

It is a super-4 number, since 4×8414309748964 (a number of 49 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4842156 + ... + 5012916.

Almost surely, 2841430974896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 841430974896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1240083889720).

841430974896 is an abundant number, since it is smaller than the sum of its proper divisors (1638736804544).

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

841430974896 is a wasteful number, since it uses less digits than its factorization.

841430974896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172595 (or 172586 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 841430974896 in words is "eight hundred forty-one billion, four hundred thirty million, nine hundred seventy-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 1801 2736 3602 5403 7204 10806 14408 16209 21612 28816 32418 34219 43224 64836 68438 86448 102657 129672 136876 170761 205314 259344 273752 307971 341522 410628 512283 547504 615942 683044 821256 1024566 1231884 1366088 1536849 1642512 2049132 2463768 2732176 3073698 3244459 4098264 4927536 6147396 6488918 8196528 9733377 12294792 12977836 19466754 24589584 25955672 29200131 38933508 51911344 58400262 77867016 116800524 155734032 233601048 307540561 467202096 615081122 922621683 1230162244 1845243366 2460324488 2767865049 3690486732 4920648976 5535730098 5843270659 7380973464 11071460196 11686541318 14761946928 17529811977 22142920392 23373082636 35059623954 44285840784 46746165272 52589435931 70119247908 93492330544 105178871862 140238495816 210357743724 280476991632 420715487448 841430974896