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142474510432 = 25611494491091
BaseRepresentation
bin1000010010110000100…
…1001000000001100000
3111121202021221000220201
42010230021020001200
54313241433313212
6145241335114544
713202436233302
oct2045411100140
9447667830821
10142474510432
1155472168491
1223742512a54
1310587438457
146c78125972
153a8d0b4b57
hex212c248060

142474510432 has 96 divisors (see below), whose sum is σ = 287911260000. Its totient is φ = 69380505600.

The previous prime is 142474510393. The next prime is 142474510447. The reversal of 142474510432 is 234015474241.

It is a super-2 number, since 2×1424745104322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 142474510391 and 142474510400.

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, 130590207 + ... + 130591297.

It is an arithmetic number, because the mean of its divisors is an integer number (2999075625).

Almost surely, 2142474510432 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 142474510432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143955630000).

142474510432 is an abundant number, since it is smaller than the sum of its proper divisors (145436749568).

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

142474510432 is a wasteful number, since it uses less digits than its factorization.

142474510432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1760 (or 1752 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 37.

Adding to 142474510432 its reverse (234015474241), we get a palindrome (376489984673).

The spelling of 142474510432 in words is "one hundred forty-two billion, four hundred seventy-four million, five hundred ten thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 61 122 149 244 298 449 488 596 898 976 1091 1192 1796 1952 2182 2384 3592 4364 4768 7184 8728 9089 14368 17456 18178 27389 34912 36356 54778 66551 66901 72712 109556 133102 133802 145424 162559 219112 266204 267604 290848 325118 438224 489859 532408 535208 650236 876448 979718 1064816 1070416 1300472 1959436 2129632 2140832 2600944 3918872 4080961 5201888 7837744 8161922 9916099 15675488 16323844 19832198 29881399 32647688 39664396 59762798 65295376 72988991 79328792 119525596 130590752 145977982 158657584 239051192 291955964 317315168 478102384 583911928 956204768 1167823856 2335647712 4452328451 8904656902 17809313804 35618627608 71237255216 142474510432