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342355013440 = 26511671451641
BaseRepresentation
bin1001111101101011111…
…00101110111101000000
31012201200022100122100121
410332311330232331000
521102120340412230
6421135320030024
733506606412466
oct4766574567500
91181608318317
10342355013440
11122212530840
1256426002314
132638ca7863b
14127da3bc836
158d8acd277a
hex4fb5f2ef40

342355013440 has 112 divisors (see below), whose sum is σ = 902619382464. Its totient is φ = 122634547200.

The previous prime is 342355013431. The next prime is 342355013449. The reversal of 342355013440 is 44310553243.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (342355013431) and next prime (342355013449).

It is a junction number, because it is equal to n+sod(n) for n = 342355013396 and 342355013405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342355013449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 489981 + ... + 961660.

Almost surely, 2342355013440 is an apocalyptic number.

It is an amenable number.

342355013440 is an abundant number, since it is smaller than the sum of its proper divisors (560264369024).

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

342355013440 is a wasteful number, since it uses less digits than its factorization.

342355013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1451736 (or 1451726 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 34.

Adding to 342355013440 its reverse (44310553243), we get a palindrome (386665566683).

The spelling of 342355013440 in words is "three hundred forty-two billion, three hundred fifty-five million, thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 67 80 88 110 134 160 176 220 268 320 335 352 440 536 670 704 737 880 1072 1340 1474 1760 2144 2680 2948 3520 3685 4288 5360 5896 7370 10720 11792 14740 21440 23584 29480 47168 58960 117920 235840 1451641 2903282 5806564 7258205 11613128 14516410 15968051 23226256 29032820 31936102 46452512 58065640 63872204 79840255 92905024 97259947 116131280 127744408 159680510 194519894 232262560 255488816 319361020 389039788 464525120 486299735 510977632 638722040 778079576 972599470 1021955264 1069859417 1277444080 1556159152 1945198940 2139718834 2554888160 3112318304 3890397880 4279437668 5109776320 5349297085 6224636608 7780795760 8558875336 10698594170 15561591520 17117750672 21397188340 31123183040 34235501344 42794376680 68471002688 85588753360 171177506720 342355013440