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46311460440 = 23357166733073
BaseRepresentation
bin101011001000011000…
…001100111001011000
311102112112011221120120
4223020120030321120
51224321213213230
633135235153240
73226432630050
oct531030147130
9142475157516
1046311460440
1118705680753
128b85745820
1344a082c63b
1423548d4560
151310b44310
hexac860ce58

46311460440 has 128 divisors (see below), whose sum is σ = 158882204160. Its totient is φ = 10578806784.

The previous prime is 46311460427. The next prime is 46311460471. The reversal of 46311460440 is 4406411364.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1383744 + ... + 1416816.

It is an arithmetic number, because the mean of its divisors is an integer number (1241267220).

Almost surely, 246311460440 is an apocalyptic number.

46311460440 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 46311460440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79441102080).

46311460440 is an abundant number, since it is smaller than the sum of its proper divisors (112570743720).

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

46311460440 is a wasteful number, since it uses less digits than its factorization.

46311460440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34761 (or 34757 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 46311460440 in words is "forty-six billion, three hundred eleven million, four hundred sixty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 1667 3334 5001 6668 8335 10002 11669 13336 16670 20004 23338 25005 33073 33340 35007 40008 46676 50010 58345 66146 66680 70014 93352 99219 100020 116690 132292 140028 165365 175035 198438 200040 231511 233380 264584 280056 330730 350070 396876 463022 466760 496095 661460 694533 700140 793752 926044 992190 1157555 1322920 1389066 1400280 1852088 1984380 2315110 2778132 3472665 3968760 4630220 5556264 6945330 9260440 13890660 27781320 55132691 110265382 165398073 220530764 275663455 330796146 385928837 441061528 551326910 661592292 771857674 826990365 1102653820 1157786511 1323184584 1543715348 1653980730 1929644185 2205307640 2315573022 3087430696 3307961460 3859288370 4631146044 5788932555 6615922920 7718576740 9262292088 11577865110 15437153480 23155730220 46311460440