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142258407280 = 245112931179819
BaseRepresentation
bin1000010001111101000…
…0110000011101110000
3111121012020021212010021
42010133100300131300
54312321123013110
6145204055213224
713164203340043
oct2043720603560
9447166255107
10142258407280
1155371186a40
12236a2077214
1310551733672
146c57550c5a
153a791292da
hex211f430770

142258407280 has 160 divisors (see below), whose sum is σ = 385303910400. Its totient is φ = 48335078400.

The previous prime is 142258407259. The next prime is 142258407293. The reversal of 142258407280 is 82704852241.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 701211 + ... + 881029.

It is an arithmetic number, because the mean of its divisors is an integer number (2408149440).

Almost surely, 2142258407280 is an apocalyptic number.

142258407280 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 142258407280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192651955200).

142258407280 is an abundant number, since it is smaller than the sum of its proper divisors (243045503120).

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

142258407280 is a wasteful number, since it uses less digits than its factorization.

142258407280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179903 (or 179897 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 43.

The spelling of 142258407280 in words is "one hundred forty-two billion, two hundred fifty-eight million, four hundred seven thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 31 40 44 55 58 62 80 88 110 116 124 145 155 176 220 232 248 290 310 319 341 440 464 496 580 620 638 682 880 899 1160 1240 1276 1364 1595 1705 1798 2320 2480 2552 2728 3190 3410 3596 4495 5104 5456 6380 6820 7192 8990 9889 12760 13640 14384 17980 19778 25520 27280 35960 39556 49445 71920 79112 98890 158224 179819 197780 359638 395560 719276 791120 899095 1438552 1798190 1978009 2877104 3596380 3956018 5214751 5574389 7192760 7912036 9890045 10429502 11148778 14385520 15824072 19780090 20859004 22297556 26073755 27871945 31648144 39560180 41718008 44595112 52147510 55743890 57362261 61318279 79120360 83436016 89190224 104295020 111487780 114724522 122636558 158240720 161657281 208590040 222975560 229449044 245273116 286811305 306591395 323314562 417180080 445951120 458898088 490546232 573622610 613182790 646629124 808286405 917796176 981092464 1147245220 1226365580 1293258248 1616572810 1778230091 2294490440 2452731160 2586516496 3233145620 3556460182 4588980880 4905462320 6466291240 7112920364 8891150455 12932582480 14225840728 17782300910 28451681456 35564601820 71129203640 142258407280