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140110411413102 = 2313163173329919309
BaseRepresentation
bin11111110110110111111111…
…010011010011011001101110
3200101002102110110210110122120
4133312313333103103121232
5121331032110310204402
61213553500122453410
741340433415564454
oct3766677723233156
9611072413713576
10140110411413102
1140709545632089
121386a405364266
1360244802169c0
142685546da69d4
15112e8d779e3bc
hex7f6dff4d366e

140110411413102 has 128 divisors (see below), whose sum is σ = 305491120704000. Its totient is φ = 42583626561024.

The previous prime is 140110411413061. The next prime is 140110411413109. The reversal of 140110411413102 is 201314114011041.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140110411413109) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7256213424 + ... + 7256232732.

It is an arithmetic number, because the mean of its divisors is an integer number (2386649380500).

Almost surely, 2140110411413102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140110411413102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152745560352000).

140110411413102 is an abundant number, since it is smaller than the sum of its proper divisors (165380709290898).

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

140110411413102 is a wasteful number, since it uses less digits than its factorization.

140110411413102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22962.

The product of its (nonzero) digits is 384, while the sum is 24.

Adding to 140110411413102 its reverse (201314114011041), we get a palindrome (341424525424143).

The spelling of 140110411413102 in words is "one hundred forty trillion, one hundred ten billion, four hundred eleven million, four hundred thirteen thousand, one hundred two".

Divisors: 1 2 3 6 13 26 39 78 163 173 326 346 489 519 978 1038 2119 2249 3299 4238 4498 6357 6598 6747 9897 12714 13494 19309 19794 28199 38618 42887 56398 57927 84597 85774 115854 128661 169194 251017 257322 366587 502034 537737 570727 733174 753051 1075474 1099761 1141454 1506102 1613211 1712181 2199522 3147367 3226422 3340457 3424362 6294734 6680914 6990581 7419451 9442101 10021371 13981162 14838902 18884202 20042742 20971743 22258353 40915771 41943486 43425941 44516706 63700391 81831542 86851882 93028501 122747313 127400782 130277823 186057002 191101173 245494626 260555646 279085503 382202346 544494491 558171006 828105083 1088988982 1209370513 1633483473 1656210166 2418741026 2484315249 3266966946 3628111539 4968630498 7078428383 7256223078 10383163733 11020167643 14156856766 20766327466 21235285149 22040335286 31149491199 33060502929 42470570298 62298982398 66121005858 134981128529 143262179359 269962257058 286524358718 404943385587 429786538077 809886771174 859573076154 1796287325809 3592574651618 5388861977427 10777723954854 23351735235517 46703470471034 70055205706551 140110411413102