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31423116406300 = 225214940122372351
BaseRepresentation
bin1110010010100010000111…
…01100001110111000011100
311010021000120000021122222021
413021101003230032320130
513104314020300000200
6150455325210425524
76422150055301633
oct711210354167034
9133230500248867
1031423116406300
11a015518015563
1236360161322a4
13146c258271538
147a8c5bb0651a
153975c258e41a
hex1c9443b0ee1c

31423116406300 has 144 divisors (see below), whose sum is σ = 68877035337600. Its totient is φ = 12442892800000.

The previous prime is 31423116406249. The next prime is 31423116406307. The reversal of 31423116406300 is 360461132413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31423116406307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13365850125 + ... + 13365852475.

It is an arithmetic number, because the mean of its divisors is an integer number (478312745400).

Almost surely, 231423116406300 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 31423116406300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34438517668800).

31423116406300 is an abundant number, since it is smaller than the sum of its proper divisors (37453918931300).

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

31423116406300 is a wasteful number, since it uses less digits than its factorization.

31423116406300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5152 (or 5145 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

Adding to 31423116406300 its reverse (360461132413), we get a palindrome (31783577538713).

The spelling of 31423116406300 in words is "thirty-one trillion, four hundred twenty-three billion, one hundred sixteen million, four hundred six thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 149 298 401 596 745 802 1490 1604 2005 2237 2351 2980 3725 4010 4474 4702 7450 8020 8948 9404 10025 11185 11755 14900 20050 22370 23510 40100 44740 47020 55925 58775 59749 111850 117550 119498 223700 235100 238996 298745 333313 350299 597490 666626 700598 897037 942751 1194980 1333252 1401196 1493725 1666565 1751495 1794074 1885502 2987450 3333130 3502990 3588148 3771004 4485185 4713755 5259187 5974900 6666260 7005980 8332825 8757475 8970370 9427510 10518374 16665650 17514950 17940740 18855020 21036748 22425925 23568775 26295935 33331300 35029900 44851850 47137550 52591870 89703700 94275100 105183740 131479675 133658513 140469899 262959350 267317026 280939798 525918700 534634052 561879596 668292565 702349495 783618863 1336585130 1404698990 1567237726 2108933987 2673170260 2809397980 3134475452 3341462825 3511747475 3918094315 4217867974 6682925650 7023494950 7836188630 8435735948 10544669935 13365851300 14046989900 15672377260 19590471575 21089339870 39180943150 42178679740 52723349675 78361886300 105446699350 210893398700 314231164063 628462328126 1256924656252 1571155820315 3142311640630 6284623281260 7855779101575 15711558203150 31423116406300