Search a number
-
+
81134063429120 = 295139072687897
BaseRepresentation
bin10010011100101001111111…
…000001111010011000000000
3101122021100012101021021120122
4102130221333001322120000
541113300030214212440
6444320250231355412
723042512504166012
oct2234517701723000
9348240171237518
1081134063429120
1123940843710649
1291243a9822b68
133636ba8b019c0
141606ca400c1b2
1595a73ab177b5
hex49ca7f07a600

81134063429120 has 160 divisors (see below), whose sum is σ = 209726617449888. Its totient is φ = 29924152639488.

The previous prime is 81134063429087. The next prime is 81134063429183. The reversal of 81134063429120 is 2192436043118.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28841012 + ... + 31528908.

Almost surely, 281134063429120 is an apocalyptic number.

81134063429120 is a gapful number since it is divisible by the number (80) 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 81134063429120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104863308724944).

81134063429120 is an abundant number, since it is smaller than the sum of its proper divisors (128592554020768).

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

81134063429120 is a wasteful number, since it uses less digits than its factorization.

81134063429120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2688840 (or 2688824 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 44.

The spelling of 81134063429120 in words is "eighty-one trillion, one hundred thirty-four billion, sixty-three million, four hundred twenty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 512 520 640 832 907 1040 1280 1664 1814 2080 2560 3328 3628 4160 4535 6656 7256 8320 9070 11791 14512 16640 18140 23582 29024 33280 36280 47164 58048 58955 72560 94328 116096 117910 145120 188656 232192 235820 290240 377312 464384 471640 580480 754624 943280 1160960 1509248 1886560 2321920 2687897 3018496 3773120 5375794 6036992 7546240 10751588 13439485 15092480 21503176 26878970 30184960 34942661 43006352 53757940 69885322 86012704 107515880 139770644 172025408 174713305 215031760 279541288 344050816 349426610 430063520 559082576 688101632 698853220 860127040 1118165152 1376203264 1397706440 1720254080 2236330304 2437922579 2795412880 3440508160 4472660608 4875845158 5590825760 6881016320 8945321216 9751690316 11181651520 12189612895 17890642432 19503380632 22363303040 24379225790 31692993527 39006761264 44726606080 48758451580 63385987054 78013522528 89453212160 97516903160 126771974108 156027045056 158464967635 195033806320 253543948216 312054090112 316929935270 390067612640 507087896432 624108180224 633859870540 780135225280 1014175792864 1248216360448 1267719741080 1560270450560 2028351585728 2535439482160 3120540901120 4056703171456 5070878964320 6241081802240 8113406342912 10141757928640 16226812685824 20283515857280 40567031714560 81134063429120