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114122951996352 = 2631347972815671
BaseRepresentation
bin11001111100101101010010…
…000000111011001111000000
3112222002001021202010001020220
4121330231102000323033000
5104424242301202340402
61042415205501503040
733016053065326515
oct3174552200731700
9488061252101226
10114122951996352
11333aa2aa24a492
1210971961871a80
134b8a995a2bc50
14202781a69530c
15d2d8ee8d3dbc
hex67cb5203b3c0

114122951996352 has 112 divisors (see below), whose sum is σ = 332095922844672. Its totient is φ = 34367631989760.

The previous prime is 114122951996341. The next prime is 114122951996381. The reversal of 114122951996352 is 253699159221411.

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, 486290524 + ... + 486525147.

It is an arithmetic number, because the mean of its divisors is an integer number (2965142168256).

Almost surely, 2114122951996352 is an apocalyptic number.

114122951996352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114122951996352 is an abundant number, since it is smaller than the sum of its proper divisors (217972970848320).

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

114122951996352 is a wasteful number, since it uses less digits than its factorization.

114122951996352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972815746 (or 972815736 counting only the distinct ones).

The product of its digits is 10497600, while the sum is 60.

The spelling of 114122951996352 in words is "one hundred fourteen trillion, one hundred twenty-two billion, nine hundred fifty-one million, nine hundred ninety-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 47 48 52 64 78 94 96 104 141 156 188 192 208 282 312 376 416 564 611 624 752 832 1128 1222 1248 1504 1833 2256 2444 2496 3008 3666 4512 4888 7332 9024 9776 14664 19552 29328 39104 58656 117312 972815671 1945631342 2918447013 3891262684 5836894026 7782525368 11673788052 12646603723 15565050736 23347576104 25293207446 31130101472 37939811169 45722336537 46695152208 50586414892 62260202944 75879622338 91444673074 93390304416 101172829784 137167009611 151759244676 182889346148 186780608832 202345659568 274334019222 303518489352 365778692296 404691319136 548668038444 594390374981 607036978704 731557384592 809382638272 1097336076888 1188780749962 1214073957408 1463114769184 1783171124943 2194672153776 2377561499924 2428147914816 2926229538368 3566342249886 4389344307552 4755122999848 7132684499772 8778688615104 9510245999696 14265368999544 19020491999392 28530737999088 38040983998784 57061475998176 114122951996352