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356145139980 = 22355710468699
BaseRepresentation
bin1010010111010111110…
…01111001000100001100
31021001021100220122200000
411023223321321010030
521313341123434410
6431335534204300
734505415512160
oct5135371710414
91231240818600
10356145139980
11128049712a33
1259034353690
1327779a54126
1413347a62ca0
1593e67aadc0
hex52ebe7910c

356145139980 has 144 divisors (see below), whose sum is σ = 1280363884800. Its totient is φ = 81404595648.

The previous prime is 356145139963. The next prime is 356145139997. The reversal of 356145139980 is 89931541653.

356145139980 is a `hidden beast` number, since 3 + 5 + 614 + 5 + 13 + 9 + 9 + 8 + 0 = 666.

356145139980 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (356145139963) and next prime (356145139997).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5200330 + ... + 5268369.

Almost surely, 2356145139980 is an apocalyptic number.

356145139980 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

356145139980 is an abundant number, since it is smaller than the sum of its proper divisors (924218744820).

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

356145139980 is a wasteful number, since it uses less digits than its factorization.

356145139980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10468730 (or 10468716 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 356145139980 in words is "three hundred fifty-six billion, one hundred forty-five million, one hundred thirty-nine thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 243 252 270 315 324 378 405 420 486 540 567 630 756 810 945 972 1134 1215 1260 1620 1701 1890 2268 2430 2835 3402 3780 4860 5670 6804 8505 11340 17010 34020 10468699 20937398 31406097 41874796 52343495 62812194 73280893 94218291 104686990 125624388 146561786 157030485 188436582 209373980 219842679 282654873 293123572 314060970 366404465 376873164 439685358 471091455 565309746 628121940 659528037 732808930 847964619 879370716 942182910 1099213395 1130619492 1319056074 1413274365 1465617860 1695929238 1884365820 1978584111 2198426790 2543893857 2638112148 2826548730 3297640185 3391858476 3957168222 4239823095 4396853580 5087787714 5653097460 5935752333 6595280370 7914336444 8479646190 9892920555 10175575428 11871504666 12719469285 13190560740 16959292380 17807256999 19785841110 23743009332 25438938570 29678761665 35614513998 39571682220 50877877140 59357523330 71229027996 89036284995 118715046660 178072569990 356145139980