Search a number
-
+
1350415544640 = 26353466740577
BaseRepresentation
bin10011101001101011000…
…010011111000101000000
311210002122210002110221020
4103221223002133011000
5134111122334412030
62512212231425440
7166364361510501
oct23515302370500
94702583073836
101350415544640
11480787408068
12199877525280
139a460c8bc66
1449509168ba8
15251d9eee510
hex13a6b09f140

1350415544640 has 112 divisors (see below), whose sum is σ = 4287798700992. Its totient is φ = 360091549696.

The previous prime is 1350415544603. The next prime is 1350415544641. The reversal of 1350415544640 is 464455140531.

It is a junction number, because it is equal to n+sod(n) for n = 1350415544592 and 1350415544601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1350415544641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33260032 + ... + 33300608.

Almost surely, 21350415544640 is an apocalyptic number.

1350415544640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1350415544640 is an abundant number, since it is smaller than the sum of its proper divisors (2937383156352).

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

1350415544640 is a wasteful number, since it uses less digits than its factorization.

1350415544640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75264 (or 75254 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 42.

The spelling of 1350415544640 in words is "one trillion, three hundred fifty billion, four hundred fifteen million, five hundred forty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 34667 40577 69334 81154 104001 121731 138668 162308 173335 202885 208002 243462 277336 324616 346670 405770 416004 486924 520005 554672 608655 649232 693340 811540 832008 973848 1040010 1109344 1217310 1298464 1386680 1623080 1664016 1947696 2080020 2218688 2434620 2596928 2773360 3246160 3328032 3895392 4160040 4869240 5546720 6492320 6656064 7790784 8320080 9738480 11093440 12984640 16640160 19476960 33280320 38953920 1406682859 2813365718 4220048577 5626731436 7033414295 8440097154 11253462872 14066828590 16880194308 21100242885 22506925744 28133657180 33760388616 42200485770 45013851488 56267314360 67520777232 84400971540 90027702976 112534628720 135041554464 168801943080 225069257440 270083108928 337603886160 450138514880 675207772320 1350415544640