Search a number
-
+
145897242744 = 233112933974751
BaseRepresentation
bin1000011111100000100…
…1110100000001111000
3111221120211101211222010
42013320021310001320
54342244143231434
6151005124125520
713353320046561
oct2077011640170
9457524354863
10145897242744
115696920a980
12243388368a0
13109b1590246
1470c092d168
153bdd80c9e9
hex21f8274078

145897242744 has 128 divisors (see below), whose sum is σ = 400349537280. Its totient is φ = 43940160000.

The previous prime is 145897242727. The next prime is 145897242761. The reversal of 145897242744 is 447242798541.

It is an interprime number because it is at equal distance from previous prime (145897242727) and next prime (145897242761).

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 30706369 + ... + 30711119.

It is an arithmetic number, because the mean of its divisors is an integer number (3127730760).

Almost surely, 2145897242744 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 145897242744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200174768640).

145897242744 is an abundant number, since it is smaller than the sum of its proper divisors (254452294536).

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

145897242744 is a wasteful number, since it uses less digits than its factorization.

145897242744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5461 (or 5457 counting only the distinct ones).

The product of its digits is 18063360, while the sum is 57.

The spelling of 145897242744 in words is "one hundred forty-five billion, eight hundred ninety-seven million, two hundred forty-two thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 293 397 586 794 879 1172 1191 1588 1758 2344 2382 3176 3223 3516 4367 4751 4764 6446 7032 8734 9502 9528 9669 12892 13101 14253 17468 19004 19338 25784 26202 28506 34936 38008 38676 52261 52404 57012 77352 104522 104808 114024 116321 156783 209044 232642 313566 348963 418088 465284 627132 697926 930568 1254264 1279531 1392043 1395852 1886147 2559062 2784086 2791704 3772294 3838593 4176129 5118124 5568172 5658441 7544588 7677186 8352258 10236248 11136344 11316882 15089176 15312473 15354372 16704516 20747617 22633764 30624946 30708744 33409032 41495234 45267528 45937419 61249892 62242851 82990468 91874838 122499784 124485702 165980936 183749676 248971404 367499352 497942808 552641071 1105282142 1657923213 2210564284 3315846426 4421128568 6079051781 6631692852 12158103562 13263385704 18237155343 24316207124 36474310686 48632414248 72948621372 145897242744