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40197368400 = 2435274785401
BaseRepresentation
bin100101011011111100…
…110010101001010000
310211202102102220001020
4211123330302221100
51124311011242100
630244425035440
72622061664610
oct453374625120
9124672386036
1040197368400
1116058403922
12795a025b80
133a37c27ab7
141d348a6a40
1510a3ec15a0
hex95bf32a50

40197368400 has 120 divisors (see below), whose sum is σ = 147160682304. Its totient is φ = 9187968000.

The previous prime is 40197368383. The next prime is 40197368429. The reversal of 40197368400 is 486379104.

40197368400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2384301 + ... + 2401100.

Almost surely, 240197368400 is an apocalyptic number.

40197368400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40197368400 is an abundant number, since it is smaller than the sum of its proper divisors (106963313904).

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

40197368400 is a wasteful number, since it uses less digits than its factorization.

40197368400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4785429 (or 4785418 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 40197368400 in words is "forty billion, one hundred ninety-seven million, three hundred sixty-eight thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 140 150 168 175 200 210 240 280 300 336 350 400 420 525 560 600 700 840 1050 1200 1400 1680 2100 2800 4200 8400 4785401 9570802 14356203 19141604 23927005 28712406 33497807 38283208 47854010 57424812 66995614 71781015 76566416 95708020 100493421 114849624 119635025 133991228 143562030 167489035 191416040 200986842 229699248 239270050 267982456 287124060 334978070 358905075 382832080 401973684 478540100 502467105 535964912 574248120 669956140 717810150 803947368 837445175 957080200 1004934210 1148496240 1339912280 1435620300 1607894736 1674890350 1914160400 2009868420 2512335525 2679824560 2871240600 3349780700 4019736840 5024671050 5742481200 6699561400 8039473680 10049342100 13399122800 20098684200 40197368400