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47115363431040 = 273581130258017
BaseRepresentation
bin10101011011001111001101…
…00000000011001010000000
320011211011222200112111021220
422231213212200003022000
522133414231014243130
6244112255452315040
712631654425225462
oct1255474640031200
9204734880474256
1047115363431040
11140155713a8663
12534b333a72a80
132039c62628208
14b8c577d5c132
1556a8a3308410
hex2ad9e6803280

47115363431040 has 128 divisors (see below), whose sum is σ = 150365404969920. Its totient is φ = 12548604395520.

The previous prime is 47115363431039. The next prime is 47115363431047. The reversal of 47115363431040 is 4013436351174.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 47115363430983 and 47115363431001.

It is not an unprimeable number, because it can be changed into a prime (47115363431047) 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, 13571889 + ... + 16686128.

Almost surely, 247115363431040 is an apocalyptic number.

47115363431040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47115363431040 is an abundant number, since it is smaller than the sum of its proper divisors (103250041538880).

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

47115363431040 is a wasteful number, since it uses less digits than its factorization.

47115363431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30258850 (or 30258838 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 47115363431040 in words is "forty-seven trillion, one hundred fifteen billion, three hundred sixty-three million, four hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 811 960 1622 1920 2433 3244 4055 4866 6488 8110 9732 12165 12976 16220 19464 24330 25952 32440 38928 48660 51904 64880 77856 97320 103808 129760 155712 194640 259520 311424 389280 519040 778560 1557120 30258017 60516034 90774051 121032068 151290085 181548102 242064136 302580170 363096204 453870255 484128272 605160340 726192408 907740510 968256544 1210320680 1452384816 1815481020 1936513088 2420641360 2904769632 3630962040 3873026176 4841282720 5809539264 7261924080 9682565440 11619078528 14523848160 19365130880 24539251787 29047696320 49078503574 58095392640 73617755361 98157007148 122696258935 147235510722 196314014296 245392517870 294471021444 368088776805 392628028592 490785035740 588942042888 736177553610 785256057184 981570071480 1177884085776 1472355107220 1570512114368 1963140142960 2355768171552 2944710214440 3141024228736 3926280285920 4711536343104 5889420428880 7852560571840 9423072686208 11778840857760 15705121143680 23557681715520 47115363431040