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14100012043400 = 23523131108320323
BaseRepresentation
bin1100110100101110101000…
…1101011000110010001000
31211220221121002020011110002
43031023222031120302020
53322003311040342100
645553242304142132
72653456304606033
oct315135215306210
954827532204402
1014100012043400
114546866237108
1216b8815607948
137b38190bc35a
1436a630d4601a
15196b912162d5
hexcd2ea358c88

14100012043400 has 96 divisors (see below), whose sum is σ = 32891850248160. Its totient is φ = 5621201763840.

The previous prime is 14100012043373. The next prime is 14100012043483. The reversal of 14100012043400 is 434021000141.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 693785639 + ... + 693805961.

It is an arithmetic number, because the mean of its divisors is an integer number (342623440085).

Almost surely, 214100012043400 is an apocalyptic number.

14100012043400 is a gapful number since it is divisible by the number (10) 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 14100012043400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16445925124080).

14100012043400 is an abundant number, since it is smaller than the sum of its proper divisors (18791838204760).

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

14100012043400 is a wasteful number, since it uses less digits than its factorization.

14100012043400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31735 (or 31726 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 14100012043400 its reverse (434021000141), we get a palindrome (14534033043541).

The spelling of 14100012043400 in words is "fourteen trillion, one hundred billion, twelve million, forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 313 626 1252 1565 2504 3130 6260 7825 11083 12520 15650 20323 22166 31300 40646 44332 55415 62600 81292 88664 101615 110830 162584 203230 221660 277075 406460 443320 508075 554150 812920 1016150 1108300 2032300 2216600 3468979 4064600 6361099 6937958 12722198 13875916 17344895 25444396 27751832 31805495 34689790 50888792 63610990 69379580 86724475 127221980 138759160 159027475 173448950 225239809 254443960 318054950 346897900 450479618 636109900 693795800 900959236 1126199045 1272219800 1801918472 2252398090 4504796180 5630995225 9009592360 11261990450 22523980900 45047961800 70500060217 141000120434 282000240868 352500301085 564000481736 705000602170 1410001204340 1762501505425 2820002408680 3525003010850 7050006021700 14100012043400