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1202145111424 = 27157317188707
BaseRepresentation
bin10001011111100101011…
…011101010110110000000
311020220221120010001122201
4101133211123222312000
5124143443122031144
62320131405442544
7152565163564135
oct21374533526600
94226846101581
101202145111424
11423910637054
12174b97b70454
1389491b3baca
144228139858c
152140d1b41d4
hex117e56ead80

1202145111424 has 64 divisors (see below), whose sum is σ = 2417768411760. Its totient is φ = 595356862464.

The previous prime is 1202145111421. The next prime is 1202145111439. The reversal of 1202145111424 is 4241115412021.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 1202145111392 and 1202145111401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1202145111421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6276079 + ... + 6464785.

Almost surely, 21202145111424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1202145111424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208884205880).

1202145111424 is an abundant number, since it is smaller than the sum of its proper divisors (1215623300336).

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

1202145111424 is a wasteful number, since it uses less digits than its factorization.

1202145111424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189195 (or 189183 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The spelling of 1202145111424 in words is "one trillion, two hundred two billion, one hundred forty-five million, one hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 157 314 317 628 634 1256 1268 2512 2536 5024 5072 10048 10144 20096 20288 40576 49769 99538 188707 199076 377414 398152 754828 796304 1509656 1592608 3019312 3185216 6038624 6370432 12077248 24154496 29626999 59253998 59820119 118507996 119640238 237015992 239280476 474031984 478560952 948063968 957121904 1896127936 1914243808 3792255872 3828487616 7656975232 9391758683 18783517366 37567034732 75134069464 150268138928 300536277856 601072555712 1202145111424