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320001211114040 = 235223129127788207
BaseRepresentation
bin100100011000010100001011…
…0100001000010001000111000
31112222000211001121100001122102
41020300220112201002020320
5313420344440021122130
63052330305452442532
7124255216216016501
oct11060502641021070
91488024047301572
10320001211114040
1192a6482a294455
122ba82466179448
1310972ca55a1981
1459041d9877ba8
1526ede74bc8645
hex1230a16842238

320001211114040 has 64 divisors (see below), whose sum is σ = 723791673077760. Its totient is φ = 127327782948480.

The previous prime is 320001211114031. The next prime is 320001211114049. The reversal of 320001211114040 is 40411112100023.

It is an interprime number because it is at equal distance from previous prime (320001211114031) and next prime (320001211114049).

It is a super-2 number, since 2×3200012111140402 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320001211114049) 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, 2378384 + ... + 25409823.

It is an arithmetic number, because the mean of its divisors is an integer number (11309244891840).

Almost surely, 2320001211114040 is an apocalyptic number.

It is an amenable number.

320001211114040 is an abundant number, since it is smaller than the sum of its proper divisors (403790461963720).

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

320001211114040 is a wasteful number, since it uses less digits than its factorization.

320001211114040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27789732 (or 27789728 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 320001211114040 its reverse (40411112100023), we get a palindrome (360412323214063).

The spelling of 320001211114040 in words is "three hundred twenty trillion, one billion, two hundred eleven million, one hundred fourteen thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 223 446 892 1115 1291 1784 2230 2582 4460 5164 6455 8920 10328 12910 25820 51640 287893 575786 1151572 1439465 2303144 2878930 5757860 11515720 27788207 55576414 111152828 138941035 222305656 277882070 555764140 1111528280 6196770161 12393540322 24787080644 30983850805 35874575237 49574161288 61967701610 71749150474 123935403220 143498300948 179372876185 247870806440 286996601896 358745752370 717491504740 1434983009480 8000030277851 16000060555702 32000121111404 40000151389255 64000242222808 80000302778510 160000605557020 320001211114040