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1012553404140 = 2235372707168491
BaseRepresentation
bin11101011110000001110…
…00101100111011101100
310120210120120212102121010
432233000320230323230
5113042202132413030
62053054405305220
7133104005632635
oct16570070547354
93523516772533
101012553404140
1136046aaaa263
121442a6105210
1374638c93125
143701775c88c
151b51389d6b0
hexebc0e2ceec

1012553404140 has 96 divisors (see below), whose sum is σ = 2912868129024. Its totient is φ = 262617949440.

The previous prime is 1012553404043. The next prime is 1012553404157. The reversal of 1012553404140 is 414043552101.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1012553404098 and 1012553404107.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5925295 + ... + 6093785.

It is an arithmetic number, because the mean of its divisors is an integer number (30342376344).

Almost surely, 21012553404140 is an apocalyptic number.

1012553404140 is a gapful number since it is divisible by the number (10) 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 1012553404140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456434064512).

1012553404140 is an abundant number, since it is smaller than the sum of its proper divisors (1900314724884).

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

1012553404140 is a wasteful number, since it uses less digits than its factorization.

1012553404140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171247 (or 171245 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 1012553404140 its reverse (414043552101), we get a palindrome (1426596956241).

The spelling of 1012553404140 in words is "one trillion, twelve billion, five hundred fifty-three million, four hundred four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 2707 5414 8121 10828 13535 16242 27070 32484 40605 54140 81210 100159 162420 168491 200318 300477 336982 400636 500795 505473 600954 673964 842455 1001590 1010946 1201908 1502385 1684910 2003180 2021892 2527365 3004770 3369820 5054730 6009540 6234167 10109460 12468334 18702501 24936668 31170835 37405002 62341670 74810004 93512505 124683340 187025010 374050020 456105137 912210274 1368315411 1824420548 2280525685 2736630822 4561051370 5473261644 6841577055 9122102740 13683154110 16875890069 27366308220 33751780138 50627670207 67503560276 84379450345 101255340414 168758900690 202510680828 253138351035 337517801380 506276702070 1012553404140