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42230136627440 = 2451035878730863
BaseRepresentation
bin10011001101000011110000…
…10010101110000011110000
312112112011100211102211202122
421212201320102232003300
521013344304434034230
6225452131255533412
711616012103440266
oct1146417022560360
9175464324384678
1042230136627440
1112501778209323
1248a059738a268
131a7439190c318
14a5dd4169c436
154d3781c84be5
hex2668784ae0f0

42230136627440 has 80 divisors (see below), whose sum is σ = 99307221931008. Its totient is φ = 16699554670848.

The previous prime is 42230136627409. The next prime is 42230136627487. The reversal of 42230136627440 is 4472663103224.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 42230136627391 and 42230136627400.

It is a congruent number.

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, 471449 + ... + 9202311.

Almost surely, 242230136627440 is an apocalyptic number.

42230136627440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42230136627440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49653610965504).

42230136627440 is an abundant number, since it is smaller than the sum of its proper divisors (57077085303568).

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

42230136627440 is a wasteful number, since it uses less digits than its factorization.

42230136627440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8731566 (or 8731560 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 44.

The spelling of 42230136627440 in words is "forty-two trillion, two hundred thirty billion, one hundred thirty-six million, six hundred twenty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 103 206 412 515 587 824 1030 1174 1648 2060 2348 2935 4120 4696 5870 8240 9392 11740 23480 46960 60461 120922 241844 302305 483688 604610 967376 1209220 2418440 4836880 8730863 17461726 34923452 43654315 69846904 87308630 139693808 174617260 349234520 698469040 899278889 1798557778 3597115556 4496394445 5125016581 7194231112 8992788890 10250033162 14388462224 17985577780 20500066324 25625082905 35971155560 41000132648 51250165810 71942311120 82000265296 102500331620 205000663240 410001326480 527876707843 1055753415686 2111506831372 2639383539215 4223013662744 5278767078430 8446027325488 10557534156860 21115068313720 42230136627440