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31240220440 = 2351131345137
BaseRepresentation
bin11101000110000011…
…111110111100011000
32222122011222121222111
4131012003332330120
51002434444023230
622203534202104
72154106330612
oct350603767430
988564877874
1031240220440
1112281321000
12607a353334
132c3b2cc550
141725047db2
15c2c95b92a
hex7460fef18

31240220440 has 128 divisors (see below), whose sum is σ = 83263360320. Its totient is φ = 10485995520.

The previous prime is 31240220437. The next prime is 31240220447. The reversal of 31240220440 is 4402204213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31240220447) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 669552 + ... + 714688.

Almost surely, 231240220440 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 31240220440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41631680160).

31240220440 is an abundant number, since it is smaller than the sum of its proper divisors (52023139880).

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

31240220440 is a wasteful number, since it uses less digits than its factorization.

31240220440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45194 (or 45168 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 31240220440 its reverse (4402204213), we get a palindrome (35642424653).

The spelling of 31240220440 in words is "thirty-one billion, two hundred forty million, two hundred twenty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 121 130 143 220 242 260 286 440 484 520 572 605 715 968 1144 1210 1331 1430 1573 2420 2662 2860 3146 4840 5324 5720 6292 6655 7865 10648 12584 13310 15730 17303 26620 31460 34606 45137 53240 62920 69212 86515 90274 138424 173030 180548 225685 346060 361096 451370 496507 586781 692120 902740 993014 1173562 1805480 1986028 2347124 2482535 2933905 3972056 4694248 4965070 5461577 5867810 6454591 9930140 10923154 11735620 12909182 19860280 21846308 23471240 25818364 27307885 32272955 43692616 51636728 54615770 60077347 64545910 71000501 109231540 120154694 129091820 142001002 218463080 240309388 258183640 284002004 300386735 355002505 480618776 568004008 600773470 710005010 781005511 1201546940 1420010020 1562011022 2403093880 2840020040 3124022044 3905027555 6248044088 7810055110 15620110220 31240220440