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46734380231040 = 273352704535893
BaseRepresentation
bin10101010000001001100100…
…01000011110100110000000
320010110202121022102122201000
422220010302020132212000
522111144002314343130
6243221251120212000
712562306336401165
oct1250046210364600
9203422538378630
1046734380231040
1113988a373065a7
1252a952946a000
132010057a8a368
14b77d5566806c
15560a061b7260
hex2a813221e980

46734380231040 has 128 divisors (see below), whose sum is σ = 165517596712800. Its totient is φ = 12462501390336.

The previous prime is 46734380231029. The next prime is 46734380231041. The reversal of 46734380231040 is 4013208343764.

46734380231040 is a `hidden beast` number, since 4 + 6 + 7 + 34 + 380 + 231 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46734380231041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1352250667 + ... + 1352285226.

Almost surely, 246734380231040 is an apocalyptic number.

46734380231040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46734380231040 is an abundant number, since it is smaller than the sum of its proper divisors (118783216481760).

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

46734380231040 is a wasteful number, since it uses less digits than its factorization.

46734380231040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2704535921 (or 2704535903 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 46734380231040 in words is "forty-six trillion, seven hundred thirty-four billion, three hundred eighty million, two hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 270 288 320 360 384 432 480 540 576 640 720 864 960 1080 1152 1440 1728 1920 2160 2880 3456 4320 5760 8640 17280 2704535893 5409071786 8113607679 10818143572 13522679465 16227215358 21636287144 24340823037 27045358930 32454430716 40568038395 43272574288 48681646074 54090717860 64908861432 73022469111 81136076790 86545148576 97363292148 108181435720 121704115185 129817722864 146044938222 162272153580 173090297152 194726584296 216362871440 243408230370 259635445728 292089876444 324544307160 346180594304 365112345555 389453168592 432725742880 486816460740 519270891456 584179752888 649088614320 730224691110 778906337184 865451485760 973632921480 1038541782912 1168359505776 1298177228640 1460449382220 1557812674368 1730902971520 1947265842960 2336719011552 2596354457280 2920898764440 3115625348736 3894531685920 4673438023104 5192708914560 5841797528880 7789063371840 9346876046208 11683595057760 15578126743680 23367190115520 46734380231040