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425515311040 = 2652979580417
BaseRepresentation
bin1100011000100101011…
…00000101111111000000
31111200022220010110122211
412030102230011333000
523432423404423130
6523251245511504
742512444315641
oct6142254057700
91450286113584
10425515311040
11154507333216
126a574272594
133118385aa21
1416848b696c8
15b10695aa2a
hex6312b05fc0

425515311040 has 112 divisors (see below), whose sum is σ = 1061468438400. Its totient is φ = 162256453632.

The previous prime is 425515311029. The next prime is 425515311043. The reversal of 425515311040 is 40113515524.

It is a junction number, because it is equal to n+sod(n) for n = 425515310993 and 425515311011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425515311043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 442912 + ... + 1023328.

Almost surely, 2425515311040 is an apocalyptic number.

425515311040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 425515311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530734219200).

425515311040 is an abundant number, since it is smaller than the sum of its proper divisors (635953127360).

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

425515311040 is a wasteful number, since it uses less digits than its factorization.

425515311040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580542 (or 580532 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 31.

Adding to 425515311040 its reverse (40113515524), we get a palindrome (465628826564).

The spelling of 425515311040 in words is "four hundred twenty-five billion, five hundred fifteen million, three hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 79 80 116 145 158 160 232 290 316 320 395 464 580 632 790 928 1160 1264 1580 1856 2291 2320 2528 3160 4582 4640 5056 6320 9164 9280 11455 12640 18328 22910 25280 36656 45820 73312 91640 146624 183280 366560 580417 733120 1160834 2321668 2902085 4643336 5804170 9286672 11608340 16832093 18573344 23216680 33664186 37146688 45852943 46433360 67328372 84160465 91705886 92866720 134656744 168320930 183411772 185733440 229264715 269313488 336641860 366823544 458529430 538626976 673283720 733647088 917058860 1077253952 1329735347 1346567440 1467294176 1834117720 2659470694 2693134880 2934588352 3668235440 5318941388 5386269760 6648676735 7336470880 10637882776 13297353470 14672941760 21275765552 26594706940 42551531104 53189413880 85103062208 106378827760 212757655520 425515311040