Search a number
-
+
1542740413464 = 233453241186391
BaseRepresentation
bin10110011100110010011…
…111101000110000011000
312110111002020021002210000
4112130302133220300120
5200234013021212324
63140420345053000
7216313355101665
oct26346237506030
95414066232700
101542740413464
115452aa820648
1220abb0787160
13b26311623a3
1454951b8aa6c
152a1e474a9c9
hex167327e8c18

1542740413464 has 160 divisors (see below), whose sum is σ = 4420923740640. Its totient is φ = 502447795200.

The previous prime is 1542740413447. The next prime is 1542740413493. The reversal of 1542740413464 is 4643140472451.

1542740413464 is a `hidden beast` number, since 1 + 54 + 2 + 7 + 404 + 134 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8183709 + ... + 8370099.

It is an arithmetic number, because the mean of its divisors is an integer number (27630773379).

Almost surely, 21542740413464 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 1542740413464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2210461870320).

1542740413464 is an abundant number, since it is smaller than the sum of its proper divisors (2878183327176).

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

1542740413464 is a wasteful number, since it uses less digits than its factorization.

1542740413464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186703 (or 186690 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 1542740413464 in words is "one trillion, five hundred forty-two billion, seven hundred forty million, four hundred thirteen thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 81 106 108 159 162 212 216 241 318 324 424 477 482 636 648 723 954 964 1272 1431 1446 1908 1928 2169 2862 2892 3816 4293 4338 5724 5784 6507 8586 8676 11448 12773 13014 17172 17352 19521 25546 26028 34344 38319 39042 51092 52056 76638 78084 102184 114957 153276 156168 186391 229914 306552 344871 372782 459828 559173 689742 745564 919656 1034613 1118346 1379484 1491128 1677519 2069226 2236692 2758968 3355038 4138452 4473384 5032557 6710076 8276904 9878723 10065114 13420152 15097671 19757446 20130228 29636169 30195342 39514892 40260456 44920231 59272338 60390684 79029784 88908507 89840462 118544676 120781368 134760693 177817014 179680924 237089352 266725521 269521386 355634028 359361848 404282079 533451042 539042772 711268056 800176563 808564158 1066902084 1078085544 1212846237 1600353126 1617128316 2133804168 2380772243 2425692474 3200706252 3234256632 3638538711 4761544486 4851384948 6401412504 7142316729 7277077422 9523088972 9702769896 14284633458 14554154844 19046177944 21426950187 28569266916 29108309688 42853900374 57138533832 64280850561 85707800748 128561701122 171415601496 192842551683 257123402244 385685103366 514246804488 771370206732 1542740413464