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2440013142402 = 234113773950077
BaseRepresentation
bin100011100000011100000…
…111011101100110000010
322122021002201012110110000
4203200130013131212002
5304434121331024102
65104532045420430
7341166541334643
oct43403407354602
98567081173400
102440013142402
11860892898310
12334a8356a716
131491278a6c24
1486150c816ca
154370c60701c
hex2381c1dd982

2440013142402 has 160 divisors (see below), whose sum is σ = 6134090276160. Its totient is φ = 718426350720.

The previous prime is 2440013142353. The next prime is 2440013142431. The reversal of 2440013142402 is 2042413100442.

2440013142402 is a `hidden beast` number, since 2 + 4 + 400 + 1 + 3 + 14 + 240 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 48700188 + ... + 48750264.

It is an arithmetic number, because the mean of its divisors is an integer number (38338064226).

Almost surely, 22440013142402 is an apocalyptic number.

2440013142402 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2440013142402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3067045138080).

2440013142402 is an abundant number, since it is smaller than the sum of its proper divisors (3694077133758).

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

2440013142402 is a wasteful number, since it uses less digits than its factorization.

2440013142402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50878 (or 50869 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 2440013142402 its reverse (2042413100442), we get a palindrome (4482426242844).

The spelling of 2440013142402 in words is "two trillion, four hundred forty billion, thirteen million, one hundred forty-two thousand, four hundred two".

Divisors: 1 2 3 6 9 11 18 22 27 33 37 54 66 74 81 99 111 162 198 222 297 333 407 594 666 739 814 891 999 1221 1478 1782 1998 2217 2442 2997 3663 4434 5994 6651 7326 8129 10989 13302 16258 19953 21978 24387 27343 32967 39906 48774 50077 54686 59859 65934 73161 82029 100154 119718 146322 150231 164058 219483 246087 300462 300773 438966 450693 492174 550847 601546 658449 738261 901386 902319 1101694 1316898 1352079 1476522 1652541 1804638 1852849 2214783 2704158 2706957 3305082 3705698 4056237 4429566 4957623 5413914 5558547 8112474 8120871 9915246 11117094 14872869 16241742 16675641 20381339 24362613 29745738 33351282 37006903 40762678 44618607 48725226 50026923 61144017 74013806 89237214 100053846 111020709 122288034 150080769 183432051 222041418 300161538 333062127 366864102 407075933 550296153 666124254 814151866 999186381 1100592306 1221227799 1369255411 1650888459 1998372762 2442455598 2738510822 2997559143 3301776918 3663683397 4107766233 5995118286 7327366794 8215532466 10991050191 12323298699 15061809521 21982100382 24646597398 30123619042 32973150573 36969896097 45185428563 65946301146 73939792194 90370857126 110909688291 135556285689 221819376582 271112571378 406668857067 813337714134 1220006571201 2440013142402