Search a number
-
+
40531335520 = 2551379246661
BaseRepresentation
bin100101101111110110…
…110001100101100000
310212121200212011210211
4211233312301211200
51131002010214040
630341515103504
72633255444644
oct455766614540
9125550764724
1040531335520
1116209978305
127a31a41b94
133a8c189490
141d66d9cc24
1510c348e8ea
hex96fdb1960

40531335520 has 96 divisors (see below), whose sum is σ = 104426824320. Its totient is φ = 14775920640.

The previous prime is 40531335499. The next prime is 40531335541. The reversal of 40531335520 is 2553313504.

It is an interprime number because it is at equal distance from previous prime (40531335499) and next prime (40531335541).

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, 40990 + ... + 287650.

It is an arithmetic number, because the mean of its divisors is an integer number (1087779420).

Almost surely, 240531335520 is an apocalyptic number.

40531335520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40531335520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52213412160).

40531335520 is an abundant number, since it is smaller than the sum of its proper divisors (63895488800).

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

40531335520 is a wasteful number, since it uses less digits than its factorization.

40531335520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246768 (or 246760 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 31.

The spelling of 40531335520 in words is "forty billion, five hundred thirty-one million, three hundred thirty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 79 80 104 130 158 160 208 260 316 395 416 520 632 790 1027 1040 1264 1580 2054 2080 2528 3160 4108 5135 6320 8216 10270 12640 16432 20540 32864 41080 82160 164320 246661 493322 986644 1233305 1973288 2466610 3206593 3946576 4933220 6413186 7893152 9866440 12826372 16032965 19486219 19732880 25652744 32065930 38972438 39465760 51305488 64131860 77944876 97431095 102610976 128263720 155889752 194862190 253320847 256527440 311779504 389724380 506641694 513054880 623559008 779448760 1013283388 1266604235 1558897520 2026566776 2533208470 3117795040 4053133552 5066416940 8106267104 10132833880 20265667760 40531335520