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420131141020320 = 25351316681474889
BaseRepresentation
bin101111110000110110110011…
…1011010110110101010100000
32001002120010220120200201001020
41133201231213122312222200
5420031412034100122240
64045313325352205440
7154331321221152402
oct13741554732665240
92032503816621036
10420131141020320
11111959686345264
123b154291099880
1315057272c1a062
1475a665470ab72
1533888960b30d0
hex17e1b676b6aa0

420131141020320 has 96 divisors (see below), whose sum is σ = 1333515484445760. Its totient is φ = 111179742136320.

The previous prime is 420131141020313. The next prime is 420131141020369. The reversal of 420131141020320 is 23020141131024.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3340674565 + ... + 3340800324.

It is an arithmetic number, because the mean of its divisors is an integer number (13890786296310).

Almost surely, 2420131141020320 is an apocalyptic number.

420131141020320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420131141020320 is an abundant number, since it is smaller than the sum of its proper divisors (913384343425440).

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

420131141020320 is a wasteful number, since it uses less digits than its factorization.

420131141020320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6681475038 (or 6681475030 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 420131141020320 its reverse (23020141131024), we get a palindrome (443151282151344).

The spelling of 420131141020320 in words is "four hundred twenty trillion, one hundred thirty-one billion, one hundred forty-one million, twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 131 160 240 262 393 480 524 655 786 1048 1310 1572 1965 2096 2620 3144 3930 4192 5240 6288 7860 10480 12576 15720 20960 31440 62880 6681474889 13362949778 20044424667 26725899556 33407374445 40088849334 53451799112 66814748890 80177698668 100222123335 106903598224 133629497780 160355397336 200444246670 213807196448 267258995560 320710794672 400888493340 534517991120 641421589344 801776986680 875273210459 1069035982240 1603553973360 1750546420918 2625819631377 3207107946720 3501092841836 4376366052295 5251639262754 7002185683672 8752732104590 10503278525508 13129098156885 14004371367344 17505464209180 21006557051016 26258196313770 28008742734688 35010928418360 42013114102032 52516392627540 70021856836720 84026228204064 105032785255080 140043713673440 210065570510160 420131141020320