Search a number
-
+
141988464 = 2434891231
BaseRepresentation
bin10000111011010…
…01001001110000
3100220011202120000
420131221021300
5242322112324
622031150000
73342611352
oct1035511160
9326152500
10141988464
1173170042
123b675300
1323555457
1414c010d2
15c6ea9c9
hex8769270

141988464 has 100 divisors (see below), whose sum is σ = 415910880. Its totient is φ = 46759680.

The previous prime is 141988439. The next prime is 141988489. The reversal of 141988464 is 464889141.

It is an interprime number because it is at equal distance from previous prime (141988439) and next prime (141988489).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 114729 + ... + 115959.

Almost surely, 2141988464 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 141988464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207955440).

141988464 is an abundant number, since it is smaller than the sum of its proper divisors (273922416).

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

141988464 is a wasteful number, since it uses less digits than its factorization.

141988464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1340 (or 1325 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 141988464 is about 11915.8912381743. The cubic root of 141988464 is about 521.6962164269.

The spelling of 141988464 in words is "one hundred forty-one million, nine hundred eighty-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 89 108 144 162 178 216 267 324 356 432 534 648 712 801 1068 1231 1296 1424 1602 2136 2403 2462 3204 3693 4272 4806 4924 6408 7209 7386 9612 9848 11079 12816 14418 14772 19224 19696 22158 28836 29544 33237 38448 44316 57672 59088 66474 88632 99711 109559 115344 132948 177264 199422 219118 265896 328677 398844 438236 531792 657354 797688 876472 986031 1314708 1595376 1752944 1972062 2629416 2958093 3944124 5258832 5916186 7888248 8874279 11832372 15776496 17748558 23664744 35497116 47329488 70994232 141988464