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142507311352 = 23719618392617
BaseRepresentation
bin1000010010111000011…
…0010000000011111000
3111121211120122111022121
42010232012100003320
54313323332430402
6145244510131024
713203315105640
oct2045606200370
9447746574277
10142507311352
115548973128a
12237514b0a74
1310591181293
146c7c623520
153a90de3837
hex212e1900f8

142507311352 has 128 divisors (see below), whose sum is σ = 327229056000. Its totient is φ = 56822031360.

The previous prime is 142507311329. The next prime is 142507311377. The reversal of 142507311352 is 253113705241.

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, 54453148 + ... + 54455764.

It is an arithmetic number, because the mean of its divisors is an integer number (2556477000).

Almost surely, 2142507311352 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 142507311352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163614528000).

142507311352 is an abundant number, since it is smaller than the sum of its proper divisors (184721744648).

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

142507311352 is a wasteful number, since it uses less digits than its factorization.

142507311352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3549 (or 3545 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The spelling of 142507311352 in words is "one hundred forty-two billion, five hundred seven million, three hundred eleven thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 19 28 38 56 61 76 122 133 152 244 266 427 488 532 839 854 1064 1159 1678 1708 2318 2617 3356 3416 4636 5234 5873 6712 8113 9272 10468 11746 15941 16226 18319 20936 23492 31882 32452 36638 46984 49723 51179 63764 64904 73276 99446 102358 111587 127528 146552 159637 198892 204716 223174 319274 348061 358253 397784 409432 446348 638548 696122 716506 892696 972401 1117459 1277096 1392244 1433012 1944802 2195663 2234918 2784488 2866024 3033103 3889604 4391326 4469836 6066206 6806807 7779208 8782652 8939672 12132412 13613614 15369641 17565304 21231721 24264824 27227228 30739282 41717597 42463442 54454456 61478564 83435194 84926884 122957128 133935443 166870388 169853768 267870886 292023179 333740776 535741772 584046358 937548101 1071483544 1168092716 1875096202 2336185432 2544773417 3750192404 5089546834 7500384808 10179093668 17813413919 20358187336 35626827838 71253655676 142507311352