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242770046217276 = 223292891801150077
BaseRepresentation
bin110111001100110001001110…
…010111011110110000111100
31011211120120220221012211122110
4313030301032113132300330
5223310021023312423101
62220155004121414020
7102064362026624004
oct6714611627366074
91154516827184573
10242770046217276
11703992200a6666
122328a56533a310
13a56016a434986
1443d41c0a9b004
151d10015530cd6
hexdccc4e5dec3c

242770046217276 has 144 divisors (see below), whose sum is σ = 593595385175520. Its totient is φ = 77211580723200.

The previous prime is 242770046217217. The next prime is 242770046217311. The reversal of 242770046217276 is 672712640077242.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1617561550 + ... + 1617711626.

It is an arithmetic number, because the mean of its divisors is an integer number (4122190174830).

Almost surely, 2242770046217276 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242770046217276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296797692587760).

242770046217276 is an abundant number, since it is smaller than the sum of its proper divisors (350825338958244).

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

242770046217276 is a wasteful number, since it uses less digits than its factorization.

242770046217276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152032 (or 152001 counting only the distinct ones).

The product of its (nonzero) digits is 22127616, while the sum is 57.

The spelling of 242770046217276 in words is "two hundred forty-two trillion, seven hundred seventy billion, forty-six million, two hundred seventeen thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 12 29 58 87 89 116 174 178 267 348 356 534 841 1068 1682 1801 2523 2581 3364 3602 5046 5162 5403 7204 7743 10092 10324 10806 15486 21612 30972 52229 74849 104458 149698 150077 156687 160289 208916 224547 299396 300154 313374 320578 449094 450231 480867 600308 626748 641156 898188 900462 961734 1514641 1800924 1923468 3029282 4352233 4543923 4648381 6058564 8704466 9087846 9296762 13056699 13356853 13945143 17408932 18175692 18593524 26113398 26713706 27890286 40070559 52226796 53427412 55780572 80141118 126214757 134803049 160282236 252429514 269606098 270288677 378644271 387348737 404409147 504859028 539212196 540577354 757288542 774697474 808818294 810866031 1081154708 1162046211 1514577084 1549394948 1617636588 1621732062 2324092422 3243464124 4648184844 7838371633 11233113373 15676743266 22466226746 23515114899 24055692253 31353486532 33699340119 44932453492 47030229798 48111384506 67398680238 72167076759 94060459596 96222769012 134797360476 144334153518 227312777357 288668307036 454625554714 681938332071 697615075337 909251109428 1363876664142 1395230150674 2092845226011 2727753328284 2790460301348 4185690452022 8371380904044 20230837184773 40461674369546 60692511554319 80923348739092 121385023108638 242770046217276